%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP438-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n035.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:06 EDT 2014

% Result   : Timeout 300.00s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP438-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n035.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 13:28:03 CDT 2014
% % CPUTime  : 300.00 
% Processing problem /tmp/CiME_47184_n035.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant;  multiply : 2;  inverse : 1;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D;
% ";
% 
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > a3 > b3 > c3";
% 
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% multiply mul;
% inverse mul;
% ";
% 
% let p2 = precedence F "
% multiply > inverse > a3 = b3 = c3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { multiply(A,inverse(multiply(B,multiply(C,
% multiply(multiply(
% inverse(C),
% inverse(
% multiply(D,B))),A)))))
% = D } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(D,B))),A)))))
% -> D
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(
% multiply(C,D))),
% inverse(V_4))),multiply(V_4,multiply(C,A)))))
% -> D
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,
% multiply(V_4,A)))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(C,V_4))),
% inverse(B)))
% Current number of equations to process: 11
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(C,V_4))),
% inverse(B))) <->
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,
% multiply(V_4,A)))))
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(inverse(C),
% inverse(multiply(D,A))),D))),
% inverse(C))) -> A
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D)))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(B,C))),inverse(D)))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% multiply(D,multiply(multiply(inverse(D),inverse(B)),inverse(C))) <->
% multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C)))
% Rule
% [6]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D)))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(B,C))),inverse(D)))
% collapsed.
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(multiply(A,
% multiply(D,
% inverse(V_4))),
% multiply(V_4,
% multiply(B,C))))))))
% -> D
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,
% multiply(A,
% multiply(D,
% inverse(B)))))),C)))
% -> D
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))) <->
% multiply(inverse(V_4),inverse(multiply(B,multiply(C,multiply(D,inverse(V_4))))))
% Current number of equations to process: 113
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [10]
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))) <->
% multiply(inverse(V_4),inverse(multiply(B,multiply(C,multiply(D,inverse(V_4)))))) is composed into 
% [10]
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))) <->
% multiply(c3,inverse(multiply(B,multiply(C,multiply(D,c3)))))
% New rule produced :
% [11]
% multiply(inverse(V_4),inverse(multiply(B,multiply(C,multiply(D,inverse(V_4))))))
% <-> multiply(A,inverse(multiply(B,multiply(C,multiply(D,A)))))
% Rule
% [9]
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,
% multiply(A,
% multiply(D,
% inverse(B)))))),C)))
% -> D collapsed.
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(C,multiply(A,
% multiply(D,c3))))),C)))
% -> D
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [13]
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,D))),C)))
% <->
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(V_4,D))),V_4)))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [14]
% inverse(multiply(multiply(inverse(A),inverse(multiply(D,C))),D)) <->
% inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),B))
% Rule
% [13]
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,D))),C)))
% <->
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(V_4,D))),V_4)))
% collapsed.
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [15]
% inverse(multiply(multiply(inverse(C),inverse(multiply(D,B))),D)) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(B,multiply(C,multiply(A,c3)))))))
% Rule
% [5]
% multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(inverse(C),
% inverse(multiply(D,A))),D))),
% inverse(C))) -> A collapsed.
% Rule
% [14]
% inverse(multiply(multiply(inverse(A),inverse(multiply(D,C))),D)) <->
% inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),B)) collapsed.
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [16]
% inverse(multiply(A,multiply(c3,inverse(multiply(B,multiply(C,multiply(A,c3)))))))
% <->
% inverse(multiply(D,multiply(c3,inverse(multiply(B,multiply(C,multiply(D,c3)))))))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [17]
% multiply(c3,inverse(multiply(A,multiply(D,multiply(multiply(inverse(D),
% inverse(C)),c3))))) <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),c3)))))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [18]
% multiply(D,inverse(multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),
% inverse(C)),D))))) <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),c3)))))
% Rule
% [17]
% multiply(c3,inverse(multiply(A,multiply(D,multiply(multiply(inverse(D),
% inverse(C)),c3))))) <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),c3)))))
% collapsed.
% Current number of equations to process: 236
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [19]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),c3))))) <->
% multiply(D,inverse(multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),
% inverse(C)),D)))))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [20]
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(D,multiply(multiply(
% inverse(D),
% inverse(
% multiply(A,B))),c3))))),C))
% -> inverse(multiply(A,B))
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [21]
% inverse(multiply(multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(
% inverse(B),
% inverse(C)),c3))))),A))
% -> inverse(C)
% Rule
% [20]
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(D,multiply(multiply(
% inverse(D),
% inverse(
% multiply(A,B))),c3))))),C))
% -> inverse(multiply(A,B)) collapsed.
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [22]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(
% inverse(C),
% inverse(D)),A))))),B))
% -> inverse(D)
% Rule
% [21]
% inverse(multiply(multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(
% inverse(B),
% inverse(C)),c3))))),A))
% -> inverse(C) collapsed.
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [23]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% <->
% inverse(multiply(multiply(c3,inverse(multiply(V_4,multiply(C,multiply(D,c3))))),V_4))
% Current number of equations to process: 331
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [24]
% inverse(multiply(multiply(c3,inverse(multiply(V_4,multiply(C,multiply(D,c3))))),V_4))
% <->
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(
% multiply(
% inverse(C),
% inverse(D)),A))),
% inverse(C))))) -> inverse(D)
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,multiply(A,
% multiply(D,B))))),C)))
% -> D
% Rule
% [12]
% multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(C,multiply(A,
% multiply(D,c3))))),C)))
% -> D collapsed.
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [27]
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))) <->
% multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))
% Rule
% [10]
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))) <->
% multiply(c3,inverse(multiply(B,multiply(C,multiply(D,c3))))) collapsed.
% Rule
% [11]
% multiply(inverse(V_4),inverse(multiply(B,multiply(C,multiply(D,inverse(V_4))))))
% <-> multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))) collapsed.
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [28]
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% <->
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))))
% Rule
% [16]
% inverse(multiply(A,multiply(c3,inverse(multiply(B,multiply(C,multiply(A,c3)))))))
% <->
% inverse(multiply(D,multiply(c3,inverse(multiply(B,multiply(C,multiply(D,c3)))))))
% collapsed.
% Current number of equations to process: 532
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [29]
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))))
% <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [30]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% <->
% inverse(multiply(multiply(V_4,inverse(multiply(V_5,multiply(C,multiply(D,V_4))))),V_5))
% Rule
% [23]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% <->
% inverse(multiply(multiply(c3,inverse(multiply(V_4,multiply(C,multiply(D,c3))))),V_4))
% collapsed.
% Rule
% [24]
% inverse(multiply(multiply(c3,inverse(multiply(V_4,multiply(C,multiply(D,c3))))),V_4))
% <->
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% collapsed.
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [31]
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))))
% <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,V_5)))))))
% Rule
% [28]
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% <->
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))))
% collapsed.
% Rule
% [29]
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))))
% <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% collapsed.
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [32]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),
% inverse(D)),A))))) <->
% multiply(V_4,inverse(multiply(B,multiply(V_5,multiply(multiply(inverse(V_5),
% inverse(D)),V_4)))))
% Rule
% [18]
% multiply(D,inverse(multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),
% inverse(C)),D))))) <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),c3)))))
% collapsed.
% Rule
% [19]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),c3))))) <->
% multiply(D,inverse(multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),
% inverse(C)),D)))))
% collapsed.
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [33]
% multiply(B,multiply(multiply(inverse(B),inverse(multiply(A,multiply(c3,
% inverse(multiply(A,
% multiply(C,
% multiply(A,c3)))))))),
% inverse(C))) -> A
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [34]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(c3,
% inverse(multiply(C,
% multiply(D,
% multiply(B,c3)))))))),
% inverse(D))) -> C
% Rule
% [33]
% multiply(B,multiply(multiply(inverse(B),inverse(multiply(A,multiply(c3,
% inverse(multiply(A,
% multiply(C,
% multiply(A,c3)))))))),
% inverse(C))) -> A collapsed.
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [35]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),
% inverse(C)))))
% Current number of equations to process: 711
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [36]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),
% inverse(C))))) <->
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% Current number of equations to process: 711
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [37]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,
% inverse(multiply(B,
% multiply(D,
% multiply(B,C)))))))),
% inverse(D))) -> B
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [38]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,C)))))))),
% inverse(V_4))) -> D
% Rule
% [34]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(c3,
% inverse(multiply(C,
% multiply(D,
% multiply(B,c3)))))))),
% inverse(D))) -> C collapsed.
% Rule
% [37]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,
% inverse(multiply(B,
% multiply(D,
% multiply(B,C)))))))),
% inverse(D))) -> B collapsed.
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [39]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,
% multiply(V_4,A)))))
% <->
% multiply(V_5,inverse(multiply(multiply(B,multiply(C,inverse(V_6))),multiply(V_6,
% multiply(V_4,V_5)))))
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [40]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D))))) <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),
% inverse(D)))))
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [41]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),
% inverse(C)),D))),
% inverse(B)))
% Current number of equations to process: 970
% Current number of ordered equations: 1
% Current number of rules: 20
% Rule [41]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),
% inverse(multiply(C,V_4))),D))))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(
% inverse(B),
% inverse(C)),D))),
% inverse(B))) is composed into [41]
% inverse(multiply(V_4,multiply(V_5,
% multiply(
% multiply(
% inverse(V_5),
% inverse(
% multiply(C,V_4))),D))))
% <->
% inverse(multiply(c3,multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(C,c3))),D))))
% New rule produced :
% [42]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),
% inverse(C)),D))),
% inverse(B))) <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% Rule
% [25]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(
% multiply(
% inverse(C),
% inverse(D)),A))),
% inverse(C))))) -> inverse(D) collapsed.
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [43]
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(B,D))),C))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(B,A))),C))))
% Current number of equations to process: 1050
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [44]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(B,A))),C))))
% <->
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(B,D))),C))))
% Current number of equations to process: 1050
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [45]
% inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(
% multiply(D,A),B))),D))))
% -> A
% Current number of equations to process: 1060
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [46]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(
% inverse(C),D),A))))),B))
% -> D
% Rule
% [22]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(
% inverse(C),
% inverse(D)),A))))),B))
% -> inverse(D) collapsed.
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [47]
% multiply(D,multiply(multiply(inverse(D),B),inverse(C))) <->
% multiply(A,multiply(multiply(inverse(A),B),inverse(C)))
% Rule
% [7]
% multiply(D,multiply(multiply(inverse(D),inverse(B)),inverse(C))) <->
% multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))) collapsed.
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [48]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),D),A)))))
% <->
% multiply(V_4,inverse(multiply(B,multiply(V_5,multiply(multiply(inverse(V_5),D),V_4)))))
% Rule
% [32]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),
% inverse(D)),A))))) <->
% multiply(V_4,inverse(multiply(B,multiply(V_5,multiply(multiply(inverse(V_5),
% inverse(D)),V_4)))))
% collapsed.
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [49]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),D)))) <->
% inverse(multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),C),D))))
% Current number of equations to process: 1370
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [50]
% multiply(D,multiply(multiply(inverse(D),B),C)) <->
% multiply(A,multiply(multiply(inverse(A),B),C))
% Rule
% [47]
% multiply(D,multiply(multiply(inverse(D),B),inverse(C))) <->
% multiply(A,multiply(multiply(inverse(A),B),inverse(C))) collapsed.
% Rule
% [49]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),D)))) <->
% inverse(multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),C),D))))
% collapsed.
% Current number of equations to process: 1417
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [51]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D))))
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% Rule
% [40]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D))))) <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),
% inverse(D))))) collapsed.
% Rule
% [41]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(
% multiply(C,c3))),D))))
% collapsed.
% Rule
% [43]
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(B,D))),C))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(B,A))),C))))
% collapsed.
% Rule
% [44]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(B,A))),C))))
% <->
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(B,D))),C))))
% collapsed.
% Current number of equations to process: 1453
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [52]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(C)),D))),B))
% Current number of equations to process: 1452
% Current number of ordered equations: 1
% Current number of rules: 21
% Rule [52]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),
% inverse(multiply(C,V_4))),D))))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,
% inverse(C)),D))),B)) is composed into 
% [52]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(
% multiply(C,c3))),D))))
% New rule produced :
% [53]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(C)),D))),B))
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% Rule
% [42]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),
% inverse(C)),D))),
% inverse(B))) <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% collapsed.
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [54]
% multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),multiply(D,A)))))
% <->
% multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(V_5),C),multiply(D,V_4)))))
% Current number of equations to process: 1497
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [55]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4)) <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(multiply(inverse(
% inverse(A)),C),D)),V_4))
% Current number of equations to process: 1496
% Current number of ordered equations: 1
% Current number of rules: 23
% Rule [55]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(multiply(inverse(
% inverse(A)),C),D)),V_4)) is composed into 
% [55]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4)) <->
% multiply(A,multiply(multiply(c3,multiply(multiply(inverse(c3),C),D)),V_4))
% New rule produced :
% [56]
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(multiply(inverse(
% inverse(A)),C),D)),V_4))
% <-> multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [57]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(V_4,multiply(multiply(inverse(V_4),V_5),multiply(multiply(inverse(
% multiply(
% inverse(A),V_5)),C),D)))
% Current number of equations to process: 1495
% Current number of ordered equations: 1
% Current number of rules: 25
% Rule [57]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(V_4,multiply(multiply(inverse(V_4),V_5),multiply(multiply(
% inverse(
% multiply(
% inverse(A),V_5)),C),D))) is composed into 
% [57]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(A,multiply(c3,multiply(multiply(inverse(c3),C),D)))
% New rule produced :
% [58]
% multiply(V_4,multiply(multiply(inverse(V_4),V_5),multiply(multiply(inverse(
% multiply(
% inverse(A),V_5)),C),D)))
% <-> multiply(A,multiply(B,multiply(multiply(inverse(B),C),D)))
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [59]
% inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(multiply(
% inverse(C),D),
% inverse(V_4))),
% multiply(V_4,multiply(A,B))))))) -> D
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [60]
% multiply(D,multiply(multiply(inverse(D),inverse(multiply(multiply(V_4,
% inverse(multiply(V_5,
% multiply(A,
% multiply(B,V_4))))),V_5))),C))
% -> multiply(A,multiply(B,C))
% Current number of equations to process: 2060
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [61]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(C,
% inverse(multiply(D,
% multiply(
% multiply(
% inverse(D),B),
% multiply(V_4,C))))),A)))
% -> V_4
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [62]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(multiply(
% inverse(B),C),D))),V_4))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(c3,multiply(multiply(
% inverse(c3),C),D))),V_4))
% Current number of equations to process: 2199
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [63]
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(c3,multiply(multiply(
% inverse(c3),C),D))),V_4))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(multiply(
% inverse(B),C),D))),V_4))
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [64]
% multiply(A,multiply(multiply(inverse(A),B),multiply(c3,multiply(multiply(
% inverse(c3),C),D))))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),B),multiply(V_5,multiply(
% multiply(
% inverse(V_5),C),D))))
% Current number of equations to process: 2336
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [65]
% multiply(V_4,multiply(multiply(inverse(V_4),B),multiply(V_5,multiply(
% multiply(
% inverse(V_5),C),D))))
% <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(c3,multiply(multiply(
% inverse(c3),C),D))))
% Current number of equations to process: 2336
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [66]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(
% inverse(C),D),V_4))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(B,multiply(multiply(
% inverse(B),D),V_4))))
% Current number of equations to process: 2468
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [67]
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(B,multiply(multiply(
% inverse(B),D),V_4))))
% <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(
% inverse(C),D),V_4))))
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [68]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(multiply(
% inverse(B),C),D))),V_4))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(multiply(
% inverse(V_6),C),D))),V_4))
% Rule
% [62]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(multiply(
% inverse(B),C),D))),V_4))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(c3,multiply(multiply(
% inverse(c3),C),D))),V_4))
% collapsed.
% Rule
% [63]
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(c3,multiply(multiply(
% inverse(c3),C),D))),V_4))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(multiply(
% inverse(B),C),D))),V_4))
% collapsed.
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [69]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(
% inverse(C),D),V_4))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(V_6,multiply(
% multiply(
% inverse(V_6),D),V_4))))
% Rule
% [64]
% multiply(A,multiply(multiply(inverse(A),B),multiply(c3,multiply(multiply(
% inverse(c3),C),D))))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),B),multiply(V_5,multiply(
% multiply(
% inverse(V_5),C),D))))
% collapsed.
% Rule
% [65]
% multiply(V_4,multiply(multiply(inverse(V_4),B),multiply(V_5,multiply(
% multiply(
% inverse(V_5),C),D))))
% <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(c3,multiply(multiply(
% inverse(c3),C),D))))
% collapsed.
% Rule
% [66]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(
% inverse(C),D),V_4))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(B,multiply(multiply(
% inverse(B),D),V_4))))
% collapsed.
% Rule
% [67]
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(B,multiply(multiply(
% inverse(B),D),V_4))))
% <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(
% inverse(C),D),V_4))))
% collapsed.
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [70]
% multiply(A,multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(V_4,B))))),V_5))
% <->
% multiply(V_6,multiply(multiply(inverse(V_6),inverse(multiply(C,multiply(D,
% multiply(V_4,
% inverse(A)))))),V_5))
% Current number of equations to process: 2751
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [70]
% multiply(A,multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(V_4,B))))),V_5))
% <->
% multiply(V_6,multiply(multiply(inverse(V_6),inverse(multiply(C,multiply(D,
% multiply(V_4,
% inverse(A)))))),V_5)) is composed into 
% [70]
% multiply(A,multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(V_4,B))))),V_5))
% <->
% multiply(A,multiply(multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3))))),V_5))
% New rule produced :
% [71]
% multiply(V_6,multiply(multiply(inverse(V_6),inverse(multiply(C,multiply(D,
% multiply(V_4,
% inverse(A)))))),V_5))
% <->
% multiply(A,multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(V_4,B))))),V_5))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [72]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,
% multiply(
% inverse(C),D)))),
% inverse(V_4))),multiply(V_4,multiply(B,inverse(C)))))
% -> D
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [73]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,
% multiply(C,D)))),
% inverse(V_4))),multiply(V_4,multiply(B,C)))) -> D
% Rule
% [72]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,
% multiply(
% inverse(C),D)))),
% inverse(V_4))),multiply(V_4,multiply(B,inverse(C)))))
% -> D collapsed.
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [74]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,multiply(D,V_4))))
% <->
% inverse(multiply(multiply(A,multiply(B,inverse(V_5))),multiply(V_5,multiply(D,V_4))))
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [75]
% inverse(multiply(multiply(A,multiply(B,C)),multiply(D,multiply(multiply(
% inverse(D),V_4),V_5))))
% <->
% multiply(multiply(inverse(V_5),inverse(multiply(B,multiply(C,V_4)))),
% inverse(A))
% Current number of equations to process: 3026
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [76]
% multiply(multiply(inverse(V_5),inverse(multiply(B,multiply(C,V_4)))),
% inverse(A)) <->
% inverse(multiply(multiply(A,multiply(B,C)),multiply(D,multiply(multiply(
% inverse(D),V_4),V_5))))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [77]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(C))),
% multiply(C,multiply(D,V_4)))) <->
% multiply(multiply(inverse(V_4),inverse(multiply(multiply(V_5,B),D))),V_5)
% Rule
% [73]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,
% multiply(C,D)))),
% inverse(V_4))),multiply(V_4,multiply(B,C)))) -> D
% collapsed.
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [78]
% multiply(multiply(inverse(C),inverse(multiply(multiply(c3,inverse(multiply(B,
% multiply(C,D)))),B))),c3)
% -> D
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [79]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,D))) <->
% inverse(multiply(multiply(A,multiply(B,inverse(V_4))),multiply(V_4,D)))
% Rule
% [74]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,multiply(D,V_4))))
% <->
% inverse(multiply(multiply(A,multiply(B,inverse(V_5))),multiply(V_5,multiply(D,V_4))))
% collapsed.
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [80]
% multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,inverse(multiply(
% multiply(B,A),
% multiply(V_4,
% multiply(C,D)))))))),
% inverse(V_4)) -> A
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [81]
% inverse(multiply(multiply(D,multiply(B,inverse(V_4))),multiply(V_4,multiply(C,A))))
% <-> multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))
% Current number of equations to process: 3205
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [82]
% multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D)) <->
% inverse(multiply(multiply(D,multiply(B,inverse(V_4))),multiply(V_4,multiply(C,A))))
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [83]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(
% inverse(V_5),C),D))),
% inverse(V_5)))
% Current number of equations to process: 3366
% Current number of ordered equations: 1
% Current number of rules: 42
% Rule [83]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(
% inverse(V_5),C),D))),
% inverse(V_5))) is composed into [83]
% multiply(A,multiply(
% multiply(
% inverse(A),
% inverse(
% multiply(
% multiply(B,C),D))),B))
% <->
% multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(
% multiply(c3,C),D))),c3))
% New rule produced :
% [84]
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(
% inverse(V_5),C),D))),
% inverse(V_5))) <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% Current number of equations to process: 3366
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [85]
% multiply(multiply(inverse(A),inverse(multiply(multiply(D,B),C))),D) <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,B),C))),c3)
% Rule
% [84]
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(
% inverse(V_5),C),D))),
% inverse(V_5))) <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% collapsed.
% Current number of equations to process: 3436
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [86]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,B),C))),c3) <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(D,B),C))),D)
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [87]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(c3,C),D))),c3))
% Rule
% [83]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(multiply(c3,C),D))),c3))
% collapsed.
% Current number of equations to process: 3463
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [88]
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(c3,C),D))),c3))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% Current number of equations to process: 3463
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [89]
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(C,D))),A))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,C))),B))),c3)
% Current number of equations to process: 3579
% Current number of ordered equations: 3
% Current number of rules: 46
% New rule produced :
% [90]
% multiply(A,inverse(multiply(c3,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),A))))) <->
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% Current number of equations to process: 3580
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [91]
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% <->
% multiply(inverse(c3),inverse(multiply(multiply(c3,inverse(multiply(c3,
% multiply(c3,C)))),c3)))
% Current number of equations to process: 3579
% Current number of ordered equations: 2
% Current number of rules: 48
% New rule produced :
% [92]
% multiply(inverse(c3),inverse(multiply(multiply(c3,inverse(multiply(c3,
% multiply(c3,C)))),c3)))
% <->
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% Current number of equations to process: 3579
% Current number of ordered equations: 1
% Current number of rules: 49
% Rule [89]
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(C,D))),A))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(
% multiply(B,C))),B))),c3) is composed into 
% [89]
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(C,D))),A))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(
% multiply(C,c3))),A))))
% New rule produced :
% [93]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,C))),B))),c3)
% <->
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(C,D))),A))))
% Rule
% [78]
% multiply(multiply(inverse(C),inverse(multiply(multiply(c3,inverse(multiply(B,
% multiply(C,D)))),B))),c3)
% -> D collapsed.
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [94]
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% <->
% multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,multiply(A,C)))),B)))
% Rule
% [91]
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% <->
% multiply(inverse(c3),inverse(multiply(multiply(c3,inverse(multiply(c3,
% multiply(c3,C)))),c3)))
% collapsed.
% Rule
% [92]
% multiply(inverse(c3),inverse(multiply(multiply(c3,inverse(multiply(c3,
% multiply(c3,C)))),c3)))
% <->
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% collapsed.
% Current number of equations to process: 3578
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [95]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(C))),
% multiply(C,D))) <->
% inverse(multiply(multiply(V_4,multiply(multiply(inverse(V_4),B),inverse(V_5))),
% multiply(V_5,D)))
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [96]
% multiply(multiply(A,inverse(multiply(multiply(B,C),D))),B) <->
% multiply(multiply(A,inverse(multiply(multiply(c3,C),D))),c3)
% Rule
% [85]
% multiply(multiply(inverse(A),inverse(multiply(multiply(D,B),C))),D) <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,B),C))),c3)
% collapsed.
% Current number of equations to process: 3877
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [97]
% multiply(multiply(inverse(B),inverse(multiply(multiply(C,inverse(multiply(D,
% multiply(B,
% multiply(A,c3))))),D))),C)
% -> multiply(A,c3)
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [98]
% multiply(multiply(V_4,inverse(multiply(multiply(V_5,B),multiply(C,multiply(D,V_4))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(c3,B),multiply(C,multiply(D,A))))),c3)
% Current number of equations to process: 3963
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [99]
% multiply(multiply(A,inverse(multiply(multiply(c3,B),multiply(C,multiply(D,A))))),c3)
% <->
% multiply(multiply(V_4,inverse(multiply(multiply(V_5,B),multiply(C,multiply(D,V_4))))),V_5)
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [100]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(V_5,C),D))),V_5))
% Rule
% [87]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(c3,C),D))),c3))
% collapsed.
% Rule
% [88]
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(c3,C),D))),c3))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% collapsed.
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [101]
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% <->
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),
% multiply(B,multiply(C,D)))))
% Current number of equations to process: 4157
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [102]
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),
% multiply(B,multiply(C,D))))) <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [103]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),A))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),B)
% Current number of equations to process: 4428
% Current number of ordered equations: 1
% Current number of rules: 54
% Rule [103]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),
% inverse(multiply(D,V_4))),A))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(
% multiply(C,D))),C))),B) is composed into 
% [103]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),A))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(
% multiply(D,c3))),A))))
% New rule produced :
% [104]
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),B)
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),A))))
% Rule
% [93]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,C))),B))),c3)
% <->
% inverse(multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),inverse(
% multiply(C,D))),A))))
% collapsed.
% Rule
% [97]
% multiply(multiply(inverse(B),inverse(multiply(multiply(C,inverse(multiply(D,
% multiply(B,
% multiply(A,c3))))),D))),C)
% -> multiply(A,c3) collapsed.
% Current number of equations to process: 4428
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [105]
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(B,A)))),C)) <->
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(A)),
% inverse(B)))))
% Current number of equations to process: 4541
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [106]
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(A)),
% inverse(B))))) <->
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(B,A)))),C))
% Current number of equations to process: 4541
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [107]
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))))
% <->
% inverse(inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),
% multiply(V_5,multiply(C,D)))))
% Rule
% [59]
% inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(multiply(
% inverse(C),D),
% inverse(V_4))),
% multiply(V_4,multiply(A,B))))))) -> D
% collapsed.
% Rule
% [101]
% inverse(multiply(V_4,multiply(c3,inverse(multiply(C,multiply(D,multiply(V_4,c3)))))))
% <->
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),
% multiply(B,multiply(C,D))))) collapsed.
% Current number of equations to process: 2421
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [108]
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),
% multiply(B,C)))) <->
% inverse(inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),
% multiply(V_4,C))))
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [109]
% inverse(multiply(c3,multiply(A,multiply(multiply(inverse(A),inverse(B)),
% inverse(C))))) <->
% inverse(multiply(multiply(c3,inverse(multiply(D,multiply(C,B)))),D))
% Rule
% [106]
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(A)),
% inverse(B))))) <->
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(B,A)))),C))
% collapsed.
% Current number of equations to process: 2941
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [110]
% multiply(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(c3,
% inverse(
% multiply(C,
% multiply(
% multiply(
% inverse(C),B),D)))),A))),c3)
% -> D
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [111]
% inverse(multiply(multiply(A,multiply(B,C)),multiply(D,multiply(multiply(
% inverse(D),V_4),V_5))))
% <->
% inverse(multiply(multiply(A,multiply(B,inverse(V_6))),multiply(V_6,multiply(
% multiply(C,V_4),V_5))))
% Current number of equations to process: 3264
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [112]
% inverse(multiply(multiply(A,multiply(B,inverse(V_6))),multiply(V_6,multiply(
% multiply(C,V_4),V_5))))
% <->
% inverse(multiply(multiply(A,multiply(B,C)),multiply(D,multiply(multiply(
% inverse(D),V_4),V_5))))
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [113]
% multiply(multiply(A,inverse(multiply(multiply(c3,inverse(multiply(D,multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),B),C))))),D))),c3)
% -> multiply(multiply(A,B),C)
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [114]
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(multiply(inverse(V_5),C),D)),V_4))),c3)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% Current number of equations to process: 3262
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [115]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(multiply(inverse(V_5),C),D)),V_4))),c3)
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [116]
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(C,inverse(V_5))),
% multiply(V_5,V_4)))),c3) <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),
% multiply(D,V_4)))),B)
% Current number of equations to process: 3261
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [117]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),
% multiply(D,V_4)))),B) <->
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(C,inverse(V_5))),
% multiply(V_5,V_4)))),c3)
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [118]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(c3,C),D))),c3))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_4,C),D))),V_4))),c3)
% Current number of equations to process: 3260
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [119]
% multiply(multiply(A,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_4,C),D))),V_4))),c3)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(c3,C),D))),c3))),B)
% Current number of equations to process: 3260
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [120]
% multiply(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(C,
% inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),B),V_4)))),A))),C)
% -> V_4
% Rule
% [110]
% multiply(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(c3,
% inverse(
% multiply(C,
% multiply(
% multiply(
% inverse(C),B),D)))),A))),c3)
% -> D collapsed.
% Current number of equations to process: 3259
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [121]
% multiply(multiply(A,inverse(multiply(multiply(V_4,C),D))),V_4) <->
% multiply(multiply(A,inverse(multiply(multiply(B,C),D))),B)
% Rule
% [86]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,B),C))),c3) <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(D,B),C))),D)
% collapsed.
% Rule
% [96]
% multiply(multiply(A,inverse(multiply(multiply(B,C),D))),B) <->
% multiply(multiply(A,inverse(multiply(multiply(c3,C),D))),c3) collapsed.
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [122]
% multiply(multiply(A,inverse(multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),
% inverse(
% multiply(
% multiply(B,C),D))),B))))),c3)
% -> multiply(multiply(A,C),D)
% Current number of equations to process: 3593
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [123]
% multiply(multiply(A,inverse(multiply(multiply(B,C),multiply(D,multiply(V_4,A))))),B)
% <->
% multiply(multiply(V_5,inverse(multiply(multiply(V_6,C),multiply(D,multiply(V_4,V_5))))),V_6)
% Rule
% [98]
% multiply(multiply(V_4,inverse(multiply(multiply(V_5,B),multiply(C,multiply(D,V_4))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(c3,B),multiply(C,multiply(D,A))))),c3)
% collapsed.
% Rule
% [99]
% multiply(multiply(A,inverse(multiply(multiply(c3,B),multiply(C,multiply(D,A))))),c3)
% <->
% multiply(multiply(V_4,inverse(multiply(multiply(V_5,B),multiply(C,multiply(D,V_4))))),V_5)
% collapsed.
% Current number of equations to process: 1850
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [124]
% multiply(multiply(A,inverse(multiply(D,multiply(B,C)))),D) <->
% multiply(multiply(A,inverse(multiply(c3,multiply(B,C)))),c3)
% Current number of equations to process: 1853
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [125]
% multiply(multiply(A,inverse(multiply(c3,multiply(B,C)))),c3) <->
% multiply(multiply(A,inverse(multiply(D,multiply(B,C)))),D)
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [126]
% multiply(multiply(A,inverse(multiply(multiply(V_5,inverse(multiply(multiply(V_6,D),V_4))),V_6))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(C,D),V_4))),C))),B)
% Rule
% [118]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(c3,C),D))),c3))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_4,C),D))),V_4))),c3)
% collapsed.
% Rule
% [119]
% multiply(multiply(A,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_4,C),D))),V_4))),c3)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(c3,C),D))),c3))),B)
% collapsed.
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [127]
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(multiply(V_4,
% multiply(V_5,
% multiply(multiply(
% inverse(V_5),B),C))))),V_4))),D)
% -> multiply(multiply(A,B),C)
% Rule
% [113]
% multiply(multiply(A,inverse(multiply(multiply(c3,inverse(multiply(D,multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),B),C))))),D))),c3)
% -> multiply(multiply(A,B),C) collapsed.
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [128]
% multiply(multiply(A,inverse(multiply(multiply(V_6,multiply(multiply(inverse(V_5),C),D)),V_4))),V_6)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% Rule
% [114]
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(multiply(inverse(V_5),C),D)),V_4))),c3)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% collapsed.
% Current number of equations to process: 1860
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [129]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_6,multiply(multiply(inverse(V_5),C),D)),V_4))),V_6)
% Rule
% [115]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(multiply(inverse(V_5),C),D)),V_4))),c3)
% collapsed.
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [130]
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(C,inverse(V_6))),
% multiply(V_6,V_4)))),V_5) <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),
% multiply(D,V_4)))),B)
% Rule
% [116]
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(C,inverse(V_5))),
% multiply(V_5,V_4)))),c3) <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),
% multiply(D,V_4)))),B) collapsed.
% Rule
% [117]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),
% multiply(D,V_4)))),B) <->
% multiply(multiply(A,inverse(multiply(multiply(c3,multiply(C,inverse(V_5))),
% multiply(V_5,V_4)))),c3) collapsed.
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [131]
% multiply(multiply(A,inverse(multiply(C,B))),C) <->
% multiply(multiply(A,inverse(multiply(c3,B))),c3)
% Rule
% [124]
% multiply(multiply(A,inverse(multiply(D,multiply(B,C)))),D) <->
% multiply(multiply(A,inverse(multiply(c3,multiply(B,C)))),c3) collapsed.
% Current number of equations to process: 1875
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [132]
% multiply(multiply(A,inverse(multiply(c3,B))),c3) <->
% multiply(multiply(A,inverse(multiply(C,B))),C)
% Rule
% [125]
% multiply(multiply(A,inverse(multiply(c3,multiply(B,C)))),c3) <->
% multiply(multiply(A,inverse(multiply(D,multiply(B,C)))),D) collapsed.
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [133]
% multiply(multiply(A,inverse(multiply(D,multiply(V_4,multiply(multiply(
% inverse(V_4),B),C))))),D)
% <->
% multiply(multiply(A,inverse(multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),B),C))))),c3)
% Current number of equations to process: 1910
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [134]
% multiply(multiply(A,inverse(multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),B),C))))),c3)
% <->
% multiply(multiply(A,inverse(multiply(D,multiply(V_4,multiply(multiply(
% inverse(V_4),B),C))))),D)
% Current number of equations to process: 1910
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [135]
% multiply(multiply(A,inverse(multiply(c3,multiply(B,multiply(multiply(
% inverse(B),
% inverse(multiply(
% multiply(C,D),V_4))),C))))),c3)
% -> multiply(multiply(A,D),V_4)
% Rule
% [122]
% multiply(multiply(A,inverse(multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),
% inverse(
% multiply(
% multiply(B,C),D))),B))))),c3)
% -> multiply(multiply(A,C),D) collapsed.
% Current number of equations to process: 1909
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [136]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(c3,B))),c3)))))
% -> A
% Current number of equations to process: 2856
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [137]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))) <->
% multiply(multiply(inverse(D),inverse(multiply(c3,C))),c3)
% Current number of equations to process: 2871
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [137]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B))))))
% <-> multiply(multiply(inverse(D),inverse(multiply(c3,C))),c3) is composed into 
% [137]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))) <->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3))))))
% New rule produced :
% [138]
% multiply(multiply(inverse(D),inverse(multiply(c3,C))),c3) <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B))))))
% Rule
% [136]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(c3,B))),c3)))))
% -> A collapsed.
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [139]
% multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),
% inverse(A)),B))))),C)
% -> A
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [140]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(multiply(C,A))),C)))))
% -> c3
% Current number of equations to process: 3020
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [141]
% multiply(multiply(V_4,inverse(multiply(c3,multiply(C,multiply(D,V_4))))),c3)
% <-> multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B)
% Current number of equations to process: 3075
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [142]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B) <->
% multiply(multiply(V_4,inverse(multiply(c3,multiply(C,multiply(D,V_4))))),c3)
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [143]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3))))))
% Current number of equations to process: 3073
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [144]
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3))))))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [145]
% multiply(A,multiply(D,multiply(multiply(inverse(D),inverse(multiply(V_4,C))),V_4)))
% <->
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(C,multiply(B,
% multiply(c3,c3))))))))
% Rule
% [140]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),
% inverse(multiply(C,A))),C)))))
% -> c3 collapsed.
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [146]
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(C,multiply(B,
% multiply(c3,c3))))))))
% <->
% multiply(A,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(C,multiply(c3,
% multiply(c3,c3))))))))
% Current number of equations to process: 3073
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [147]
% multiply(A,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(C,multiply(c3,
% multiply(c3,c3))))))))
% <->
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(C,multiply(B,
% multiply(c3,c3))))))))
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [148]
% multiply(A,inverse(multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(
% multiply(B,
% multiply(C,
% multiply(c3,c3))))))))))
% -> A
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [149]
% multiply(multiply(A,inverse(multiply(c3,multiply(multiply(inverse(V_4),C),D)))),c3)
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),V_4)
% Current number of equations to process: 3070
% Current number of ordered equations: 3
% Current number of rules: 78
% New rule produced :
% [150]
% multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),D)) <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% Rule
% [145]
% multiply(A,multiply(D,multiply(multiply(inverse(D),inverse(multiply(V_4,C))),V_4)))
% <->
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(C,multiply(B,
% multiply(c3,c3))))))))
% collapsed.
% Current number of equations to process: 3072
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [151]
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% <->
% multiply(c3,multiply(c3,multiply(B,inverse(multiply(B,multiply(c3,multiply(c3,B)))))))
% Current number of equations to process: 3071
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [152]
% multiply(c3,multiply(c3,multiply(B,inverse(multiply(B,multiply(c3,multiply(c3,B)))))))
% <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% Current number of equations to process: 3071
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [153]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),V_4)
% <->
% multiply(multiply(A,inverse(multiply(c3,multiply(multiply(inverse(V_4),C),D)))),c3)
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [154]
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(multiply(V_4,C))),V_4))),D)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),B)
% Current number of equations to process: 3070
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [155]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(multiply(V_4,C))),V_4))),D)
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [156]
% multiply(D,multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3)))))))
% <->
% multiply(A,multiply(A,multiply(C,inverse(multiply(C,multiply(A,multiply(A,C)))))))
% Current number of equations to process: 3067
% Current number of ordered equations: 3
% Current number of rules: 84
% New rule produced :
% [157]
% multiply(A,multiply(A,multiply(C,inverse(multiply(C,multiply(A,multiply(A,C)))))))
% <->
% multiply(D,multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3)))))))
% Current number of equations to process: 3067
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced :
% [158]
% multiply(multiply(A,inverse(multiply(V_4,multiply(multiply(inverse(c3),C),D)))),V_4)
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),c3)
% Current number of equations to process: 3067
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [159]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),c3)
% <->
% multiply(multiply(A,inverse(multiply(V_4,multiply(multiply(inverse(c3),C),D)))),V_4)
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [160]
% multiply(multiply(V_4,inverse(multiply(c3,multiply(D,multiply(C,V_4))))),c3)
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D))))
% Current number of equations to process: 3065
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [161]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) <->
% multiply(multiply(V_4,inverse(multiply(c3,multiply(D,multiply(C,V_4))))),c3)
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [162]
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))),C))
% <->
% inverse(multiply(c3,multiply(A,multiply(A,multiply(B,inverse(multiply(B,
% multiply(A,
% multiply(A,B)))))))))
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [163]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% multiply(c3,
% inverse(multiply(D,
% multiply(C,
% multiply(c3,c3)))))))))),B))
% -> inverse(multiply(A,D))
% Current number of equations to process: 3061
% Current number of ordered equations: 2
% Current number of rules: 91
% New rule produced :
% [164]
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% multiply(
% inverse(V_4),B),C))))))
% <-> multiply(multiply(A,inverse(multiply(c3,D))),c3)
% Current number of equations to process: 3061
% Current number of ordered equations: 1
% Current number of rules: 92
% Rule [153]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),V_4)
% <->
% multiply(multiply(A,inverse(multiply(c3,multiply(multiply(inverse(V_4),C),D)))),c3) is composed into 
% [153]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),V_4)
% <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(V_4),C),D),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% Rule [133]
% multiply(multiply(A,inverse(multiply(D,multiply(V_4,multiply(multiply(
% inverse(V_4),B),C))))),D)
% <->
% multiply(multiply(A,inverse(multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),B),C))))),c3) is composed into 
% [133]
% multiply(multiply(A,inverse(multiply(D,multiply(V_4,multiply(multiply(
% inverse(V_4),B),C))))),D)
% <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(multiply(c3,multiply(
% multiply(
% inverse(c3),B),C)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% New rule produced :
% [165]
% multiply(multiply(A,inverse(multiply(c3,D))),c3) <->
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% multiply(
% inverse(V_4),B),C))))))
% Rule
% [134]
% multiply(multiply(A,inverse(multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),B),C))))),c3)
% <->
% multiply(multiply(A,inverse(multiply(D,multiply(V_4,multiply(multiply(
% inverse(V_4),B),C))))),D)
% collapsed.
% Rule
% [135]
% multiply(multiply(A,inverse(multiply(c3,multiply(B,multiply(multiply(
% inverse(B),
% inverse(multiply(
% multiply(C,D),V_4))),C))))),c3)
% -> multiply(multiply(A,D),V_4) collapsed.
% Rule
% [149]
% multiply(multiply(A,inverse(multiply(c3,multiply(multiply(inverse(V_4),C),D)))),c3)
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),V_4)
% collapsed.
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [166]
% multiply(A,multiply(B,inverse(multiply(C,multiply(multiply(inverse(C),D),
% multiply(A,B)))))) <->
% multiply(c3,multiply(c3,inverse(multiply(V_4,multiply(multiply(inverse(V_4),D),
% multiply(c3,c3))))))
% Current number of equations to process: 3063
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [167]
% multiply(c3,multiply(c3,inverse(multiply(V_4,multiply(multiply(inverse(V_4),D),
% multiply(c3,c3)))))) <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(multiply(inverse(C),D),
% multiply(A,B))))))
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [168]
% inverse(multiply(multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% inverse(V_4),C))))),D))
% <->
% inverse(multiply(A,multiply(B,multiply(A,multiply(B,inverse(multiply(A,
% multiply(B,
% multiply(A,B)))))))))
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [169]
% inverse(multiply(A,multiply(B,multiply(A,multiply(B,inverse(multiply(A,
% multiply(B,
% multiply(A,B)))))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,
% multiply(c3,
% multiply(c3,c3)))))))))
% Current number of equations to process: 3062
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [170]
% inverse(multiply(c3,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,
% multiply(c3,
% multiply(c3,c3)))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(A,multiply(B,inverse(multiply(A,
% multiply(B,
% multiply(A,B)))))))))
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [171]
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% Rule
% [151]
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% <->
% multiply(c3,multiply(c3,multiply(B,inverse(multiply(B,multiply(c3,multiply(c3,B)))))))
% collapsed.
% Rule
% [152]
% multiply(c3,multiply(c3,multiply(B,inverse(multiply(B,multiply(c3,multiply(c3,B)))))))
% <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% collapsed.
% Rule
% [156]
% multiply(D,multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3)))))))
% <->
% multiply(A,multiply(A,multiply(C,inverse(multiply(C,multiply(A,multiply(A,C)))))))
% collapsed.
% Current number of equations to process: 3061
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [172]
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% <->
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% Rule
% [157]
% multiply(A,multiply(A,multiply(C,inverse(multiply(C,multiply(A,multiply(A,C)))))))
% <->
% multiply(D,multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3)))))))
% collapsed.
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [173]
% multiply(multiply(multiply(A,inverse(multiply(inverse(multiply(C,D)),B))),c3),
% multiply(c3,inverse(multiply(D,multiply(c3,multiply(multiply(inverse(c3),c3),c3))))))
% -> multiply(multiply(multiply(A,inverse(multiply(c3,B))),c3),C)
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [174]
% inverse(multiply(multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,
% multiply(D,
% inverse(multiply(D,
% multiply(c3,
% multiply(c3,D)))))))))),A))
% -> inverse(multiply(c3,D))
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [175]
% multiply(multiply(multiply(A,inverse(multiply(inverse(multiply(c3,C)),B))),
% inverse(multiply(D,C))),D) ->
% multiply(multiply(multiply(A,inverse(multiply(c3,B))),c3),c3)
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [176]
% multiply(C,inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),
% multiply(V_4,multiply(B,C))))) <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% Current number of equations to process: 3054
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [177]
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% <->
% multiply(C,inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),
% multiply(V_4,multiply(B,C)))))
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [178]
% multiply(A,inverse(multiply(multiply(B,multiply(c3,multiply(c3,inverse(
% multiply(C,
% multiply(B,
% multiply(c3,c3))))))),
% multiply(D,multiply(inverse(D),A))))) -> C
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [179]
% multiply(multiply(A,inverse(multiply(c3,D))),c3) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),
% multiply(B,inverse(multiply(D,C))))
% Current number of equations to process: 3052
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [180]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),
% multiply(B,inverse(multiply(D,C)))) <->
% multiply(multiply(A,inverse(multiply(c3,D))),c3)
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [181]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(c3,D)))) ->
% multiply(multiply(A,inverse(multiply(c3,c3))),c3)
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [182]
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(V_5,multiply(
% multiply(
% inverse(V_5),D),V_4)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),D),A))))),B)
% Current number of equations to process: 3071
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [183]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),D),A))))),B)
% <->
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(V_5,multiply(
% multiply(
% inverse(V_5),D),V_4)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [184]
% multiply(multiply(A,inverse(multiply(c3,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),c3)
% <->
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% Current number of equations to process: 3069
% Current number of ordered equations: 3
% Current number of rules: 105
% New rule produced :
% [185]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(c3,V_4))),c3)))))
% <->
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_4))),V_5)))))
% Current number of equations to process: 3069
% Current number of ordered equations: 2
% Current number of rules: 106
% New rule produced :
% [186]
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_4))),V_5)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(c3,V_4))),c3)))))
% Current number of equations to process: 3069
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [187]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(c3,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),c3)
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [188]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),V_4) <->
% multiply(multiply(V_5,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(V_4),C),
% multiply(D,V_5)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% Current number of equations to process: 3068
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [189]
% multiply(multiply(V_5,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(V_4),C),
% multiply(D,V_5)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),V_4)
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [190]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(D,V_4))),D)))))
% <->
% multiply(V_5,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(c3,V_4))),V_5)))))
% Current number of equations to process: 3062
% Current number of ordered equations: 3
% Current number of rules: 111
% New rule produced :
% [191]
% multiply(V_5,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(c3,V_4))),V_5)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(D,V_4))),D)))))
% Current number of equations to process: 3062
% Current number of ordered equations: 2
% Current number of rules: 112
% New rule produced :
% [192]
% multiply(multiply(A,inverse(multiply(V_5,inverse(multiply(C,multiply(D,
% multiply(V_4,c3))))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),c3)
% Current number of equations to process: 3062
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [193]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),c3)
% <->
% multiply(multiply(A,inverse(multiply(V_5,inverse(multiply(C,multiply(D,
% multiply(V_4,c3))))))),V_5)
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [194]
% multiply(multiply(A,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),
% inverse(multiply(
% multiply(V_4,B),c3))),V_4))))),C)
% -> multiply(multiply(A,B),c3)
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [195]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),c3) <->
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(c3),C),
% multiply(D,V_4))))),V_5)
% Current number of equations to process: 3060
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [196]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(c3),C),
% multiply(D,V_4))))),V_5) <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),c3)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [197]
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(C,multiply(c3,multiply(
% multiply(
% inverse(c3),c3),c3))))))
% <-> multiply(multiply(A,inverse(multiply(B,C))),B)
% Current number of equations to process: 3111
% Current number of ordered equations: 1
% Current number of rules: 118
% Rule [195]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),c3) <->
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(c3),C),
% multiply(D,V_4))))),V_5) is composed into 
% [195]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),c3) <->
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(c3),C),
% multiply(D,V_4)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% Rule [182]
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(V_5,
% multiply(
% multiply(
% inverse(V_5),D),V_4)),
% multiply(c3,multiply(
% multiply(
% inverse(c3),c3),c3))))))
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(
% inverse(C),D),A))))),B) is composed into 
% [182]
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(V_5,multiply(
% multiply(
% inverse(V_5),D),V_4)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(multiply(C,multiply(
% multiply(
% inverse(C),D),A)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% Rule [159]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),c3)
% <->
% multiply(multiply(A,inverse(multiply(V_4,multiply(multiply(inverse(c3),C),D)))),V_4) is composed into 
% [159]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),c3)
% <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(c3),C),D),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% New rule produced :
% [198]
% multiply(multiply(A,inverse(multiply(B,C))),B) <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(C,multiply(c3,multiply(
% multiply(
% inverse(c3),c3),c3))))))
% Rule
% [46]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(
% inverse(C),D),A))))),B))
% -> D collapsed.
% Rule
% [127]
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(multiply(V_4,
% multiply(V_5,
% multiply(multiply(
% inverse(V_5),B),C))))),V_4))),D)
% -> multiply(multiply(A,B),C) collapsed.
% Rule
% [133]
% multiply(multiply(A,inverse(multiply(D,multiply(V_4,multiply(multiply(
% inverse(V_4),B),C))))),D)
% <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(multiply(c3,multiply(
% multiply(
% inverse(c3),B),C)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% collapsed.
% Rule
% [139]
% multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),
% inverse(A)),B))))),C)
% -> A collapsed.
% Rule
% [158]
% multiply(multiply(A,inverse(multiply(V_4,multiply(multiply(inverse(c3),C),D)))),V_4)
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),c3)
% collapsed.
% Rule
% [175]
% multiply(multiply(multiply(A,inverse(multiply(inverse(multiply(c3,C)),B))),
% inverse(multiply(D,C))),D) ->
% multiply(multiply(multiply(A,inverse(multiply(c3,B))),c3),c3) collapsed.
% Rule
% [183]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),D),A))))),B)
% <->
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(V_5,multiply(
% multiply(
% inverse(V_5),D),V_4)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% collapsed.
% Rule
% [194]
% multiply(multiply(A,inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),
% inverse(multiply(
% multiply(V_4,B),c3))),V_4))))),C)
% -> multiply(multiply(A,B),c3) collapsed.
% Rule
% [196]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(c3),C),
% multiply(D,V_4))))),V_5) <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),c3) collapsed.
% Current number of equations to process: 3116
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [199]
% multiply(multiply(inverse(A),inverse(multiply(B,C))),B) ->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(A,multiply(c3,c3))))))
% Rule
% [15]
% inverse(multiply(multiply(inverse(C),inverse(multiply(D,B))),D)) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(B,multiply(C,multiply(A,c3)))))))
% collapsed.
% Rule
% [138]
% multiply(multiply(inverse(D),inverse(multiply(c3,C))),c3) <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B))))))
% collapsed.
% Rule
% [150]
% multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),D)) <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% collapsed.
% Current number of equations to process: 3162
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [200]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(C,multiply(D,V_4))))),V_5)
% <-> multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B)
% Rule
% [30]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% <->
% inverse(multiply(multiply(V_4,inverse(multiply(V_5,multiply(C,multiply(D,V_4))))),V_5))
% collapsed.
% Rule
% [141]
% multiply(multiply(V_4,inverse(multiply(c3,multiply(C,multiply(D,V_4))))),c3)
% <-> multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B)
% collapsed.
% Rule
% [142]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B) <->
% multiply(multiply(V_4,inverse(multiply(c3,multiply(C,multiply(D,V_4))))),c3)
% collapsed.
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [201]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,C)))
% <->
% inverse(multiply(multiply(c3,multiply(inverse(c3),inverse(c3))),multiply(c3,C)))
% Current number of equations to process: 3390
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [202]
% inverse(multiply(multiply(c3,multiply(inverse(c3),inverse(c3))),multiply(c3,C)))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,C)))
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [203]
% multiply(A,multiply(inverse(A),inverse(B))) <->
% multiply(C,multiply(inverse(C),inverse(B)))
% Current number of equations to process: 3408
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [204]
% inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),multiply(V_4,
% multiply(B,C))))
% <-> multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A))))))
% Rule
% [143]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3))))))
% collapsed.
% Current number of equations to process: 3539
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [205]
% multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A)))))) <->
% inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),multiply(V_4,
% multiply(B,C))))
% Rule
% [144]
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3))))))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% collapsed.
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [206]
% multiply(C,multiply(c3,multiply(c3,inverse(multiply(B,multiply(C,multiply(c3,c3)))))))
% <->
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(B,multiply(A,multiply(c3,c3)))))))
% Rule
% [146]
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(C,multiply(B,
% multiply(c3,c3))))))))
% <->
% multiply(A,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(C,multiply(c3,
% multiply(c3,c3))))))))
% collapsed.
% Rule
% [147]
% multiply(A,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(C,multiply(c3,
% multiply(c3,c3))))))))
% <->
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(C,multiply(B,
% multiply(c3,c3))))))))
% collapsed.
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [207]
% multiply(multiply(A,inverse(multiply(D,C))),D) <->
% multiply(multiply(A,inverse(multiply(B,C))),B)
% Rule
% [131]
% multiply(multiply(A,inverse(multiply(C,B))),C) <->
% multiply(multiply(A,inverse(multiply(c3,B))),c3) collapsed.
% Rule
% [132]
% multiply(multiply(A,inverse(multiply(c3,B))),c3) <->
% multiply(multiply(A,inverse(multiply(C,B))),C) collapsed.
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [208]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,multiply(D,V_4))))
% <->
% inverse(multiply(multiply(A,multiply(B,D)),multiply(V_5,multiply(inverse(V_5),V_4))))
% Current number of equations to process: 3571
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [209]
% inverse(multiply(multiply(A,multiply(B,D)),multiply(V_5,multiply(inverse(V_5),V_4))))
% <->
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,multiply(D,V_4))))
% Rule
% [178]
% multiply(A,inverse(multiply(multiply(B,multiply(c3,multiply(c3,inverse(
% multiply(C,
% multiply(B,
% multiply(c3,c3))))))),
% multiply(D,multiply(inverse(D),A))))) -> C collapsed.
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [210]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,C)))
% <->
% inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),multiply(V_4,C)))
% Rule
% [108]
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),
% multiply(B,C)))) <->
% inverse(inverse(multiply(multiply(D,multiply(inverse(D),inverse(V_4))),
% multiply(V_4,C)))) collapsed.
% Rule
% [201]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,C)))
% <->
% inverse(multiply(multiply(c3,multiply(inverse(c3),inverse(c3))),multiply(c3,C)))
% collapsed.
% Rule
% [202]
% inverse(multiply(multiply(c3,multiply(inverse(c3),inverse(c3))),multiply(c3,C)))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,C)))
% collapsed.
% Current number of equations to process: 3578
% Current number of ordered equations: 2
% Current number of rules: 106
% New rule produced :
% [211]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(C))),C))
% <->
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),B),inverse(V_4))),V_4))
% Current number of equations to process: 3578
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [212]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(B,inverse(multiply(C,
% multiply(
% inverse(C),
% multiply(D,B))))),A)))
% -> D
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [213]
% multiply(D,inverse(multiply(B,multiply(V_4,multiply(inverse(V_4),D))))) <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A)))))
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [214]
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,
% inverse(V_4)))))))
% <->
% multiply(V_4,multiply(V_5,inverse(multiply(B,multiply(C,multiply(D,V_5))))))
% Current number of equations to process: 3590
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [215]
% multiply(V_4,multiply(V_5,inverse(multiply(B,multiply(C,multiply(D,V_5))))))
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,
% inverse(V_4)))))))
% Rule
% [173]
% multiply(multiply(multiply(A,inverse(multiply(inverse(multiply(C,D)),B))),c3),
% multiply(c3,inverse(multiply(D,multiply(c3,multiply(multiply(inverse(c3),c3),c3))))))
% -> multiply(multiply(multiply(A,inverse(multiply(c3,B))),c3),C) collapsed.
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [216]
% multiply(A,inverse(multiply(B,multiply(C,multiply(c3,multiply(D,inverse(
% multiply(B,
% multiply(C,
% multiply(c3,D))))))))))
% -> A
% Rule
% [148]
% multiply(A,inverse(multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(
% multiply(B,
% multiply(C,
% multiply(c3,c3))))))))))
% -> A collapsed.
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [217]
% multiply(inverse(A),inverse(multiply(c3,multiply(B,multiply(B,multiply(c3,
% inverse(
% multiply(c3,
% multiply(B,
% multiply(B,c3))))))))))
% -> inverse(A)
% Current number of equations to process: 4419
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [218]
% multiply(A,multiply(inverse(A),B)) <-> multiply(C,multiply(inverse(C),B))
% Rule
% [203]
% multiply(A,multiply(inverse(A),inverse(B))) <->
% multiply(C,multiply(inverse(C),inverse(B))) collapsed.
% Current number of equations to process: 4443
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [219]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_4,inverse(multiply(V_5,D))),V_5))),V_4)
% Rule
% [154]
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(multiply(V_4,C))),V_4))),D)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),B)
% collapsed.
% Rule
% [155]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(multiply(V_4,C))),V_4))),D)
% collapsed.
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [220]
% multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(B,multiply(C,
% inverse(
% multiply(B,
% multiply(C,
% multiply(B,C))))))))))
% -> inverse(A)
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [221]
% inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),B)),C))),A))))
% <-> multiply(inverse(A),B)
% Current number of equations to process: 1787
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [222]
% multiply(inverse(A),B) <->
% inverse(multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),B)),C))),A))))
% Current number of equations to process: 1787
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [223]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,V_5)))))))
% <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(C,multiply(A,multiply(A,B)))))))
% Rule
% [171]
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% <->
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% collapsed.
% Current number of equations to process: 2157
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [224]
% multiply(A,multiply(A,multiply(B,inverse(multiply(C,multiply(A,multiply(A,B)))))))
% <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,V_5)))))))
% Rule
% [172]
% multiply(A,multiply(A,multiply(B,inverse(multiply(B,multiply(A,multiply(A,B)))))))
% <->
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% collapsed.
% Current number of equations to process: 2157
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [225]
% multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(C,multiply(B,
% inverse(
% multiply(B,
% multiply(C,
% multiply(C,B))))))))))
% -> inverse(A)
% Rule
% [217]
% multiply(inverse(A),inverse(multiply(c3,multiply(B,multiply(B,multiply(c3,
% inverse(
% multiply(c3,
% multiply(B,
% multiply(B,c3))))))))))
% -> inverse(A) collapsed.
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [226]
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% <->
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(B,multiply(A,multiply(c3,c3)))))))
% Rule
% [206]
% multiply(C,multiply(c3,multiply(c3,inverse(multiply(B,multiply(C,multiply(c3,c3)))))))
% <->
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(B,multiply(A,multiply(c3,c3)))))))
% collapsed.
% Current number of equations to process: 2713
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [227]
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(B,multiply(A,multiply(c3,c3)))))))
% <->
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [228]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),A))),C)))
% <->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(
% multiply(c3,D),c3))),c3)))
% Current number of equations to process: 3037
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [229]
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(
% multiply(c3,D),c3))),c3)))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),A))),C)))
% Current number of equations to process: 3037
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [230]
% multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(V_5),C),
% multiply(D,V_4)))))) <->
% multiply(c3,multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(c3,A))))))
% Rule
% [166]
% multiply(A,multiply(B,inverse(multiply(C,multiply(multiply(inverse(C),D),
% multiply(A,B)))))) <->
% multiply(c3,multiply(c3,inverse(multiply(V_4,multiply(multiply(inverse(V_4),D),
% multiply(c3,c3)))))) collapsed.
% Current number of equations to process: 3036
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [231]
% multiply(c3,multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(c3,A)))))) <->
% multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(multiply(inverse(V_5),C),
% multiply(D,V_4))))))
% Rule
% [167]
% multiply(c3,multiply(c3,inverse(multiply(V_4,multiply(multiply(inverse(V_4),D),
% multiply(c3,c3)))))) <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(multiply(inverse(C),D),
% multiply(A,B)))))) collapsed.
% Current number of equations to process: 3036
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [232]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(B,multiply(C,
% inverse(
% multiply(B,
% multiply(C,
% multiply(B,C)))))))))),c3)
% -> multiply(A,c3)
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [233]
% multiply(multiply(A,c3),multiply(B,inverse(multiply(C,multiply(D,multiply(
% multiply(
% inverse(D),c3),B))))))
% <-> multiply(multiply(A,inverse(multiply(V_4,C))),V_4)
% Rule
% [197]
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(C,multiply(c3,multiply(
% multiply(
% inverse(c3),c3),c3))))))
% <-> multiply(multiply(A,inverse(multiply(B,C))),B) collapsed.
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [234]
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(A,multiply(c3,c3))))))
% <->
% multiply(inverse(A),multiply(B,inverse(multiply(C,multiply(D,multiply(
% inverse(D),B))))))
% Current number of equations to process: 3415
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [235]
% multiply(inverse(A),multiply(B,inverse(multiply(C,multiply(D,multiply(
% inverse(D),B))))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(A,multiply(c3,c3))))))
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [236]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) <->
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(D,multiply(C,V_4))))),V_5)
% Rule
% [36]
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),
% inverse(C))))) <->
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% collapsed.
% Rule
% [161]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) <->
% multiply(multiply(V_4,inverse(multiply(c3,multiply(D,multiply(C,V_4))))),c3)
% collapsed.
% Current number of equations to process: 3480
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [237]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(D,multiply(C,V_4))))),V_5)
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D))))
% Rule
% [35]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B))
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),
% inverse(C))))) collapsed.
% Rule
% [160]
% multiply(multiply(V_4,inverse(multiply(c3,multiply(D,multiply(C,V_4))))),c3)
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) collapsed.
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [238]
% multiply(multiply(A,inverse(multiply(V_5,D))),V_5) <->
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% multiply(
% inverse(V_4),B),C))))))
% Rule
% [165]
% multiply(multiply(A,inverse(multiply(c3,D))),c3) <->
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% multiply(
% inverse(V_4),B),C))))))
% collapsed.
% Rule
% [198]
% multiply(multiply(A,inverse(multiply(B,C))),B) <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(C,multiply(c3,multiply(
% multiply(
% inverse(c3),c3),c3))))))
% collapsed.
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [239]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D)),multiply(V_4,multiply(
% inverse(V_4),A)))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(C,D))),inverse(B)))
% Current number of equations to process: 4166
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [240]
% multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(C,D))),inverse(B)))
% <->
% multiply(A,inverse(multiply(multiply(B,multiply(C,D)),multiply(V_4,multiply(
% inverse(V_4),A)))))
% Current number of equations to process: 4166
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [241]
% inverse(multiply(multiply(D,multiply(B,C)),multiply(V_4,multiply(inverse(V_4),A))))
% <-> multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))
% Current number of equations to process: 4182
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [242]
% multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D)) <->
% inverse(multiply(multiply(D,multiply(B,C)),multiply(V_4,multiply(inverse(V_4),A))))
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [243]
% inverse(multiply(multiply(D,multiply(inverse(D),B)),multiply(V_4,multiply(
% inverse(V_4),C))))
% <-> multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A))))))
% Current number of equations to process: 4297
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [244]
% multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A)))))) <->
% inverse(multiply(multiply(D,multiply(inverse(D),B)),multiply(V_4,multiply(
% inverse(V_4),C))))
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [245]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),C)) <->
% inverse(multiply(multiply(A,multiply(B,inverse(D))),D))
% Current number of equations to process: 4788
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [246]
% multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(C),multiply(A,B))))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(D,multiply(inverse(D),multiply(c3,c3))))))
% Current number of equations to process: 2935
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [247]
% multiply(c3,multiply(c3,inverse(multiply(D,multiply(inverse(D),multiply(c3,c3))))))
% <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(C),multiply(A,B))))))
% Current number of equations to process: 2935
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [248]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A))))),B)
% <->
% multiply(multiply(D,inverse(multiply(V_4,multiply(V_5,multiply(inverse(V_5),D))))),V_4)
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [249]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,multiply(
% inverse(C),D))))
% <->
% inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),multiply(V_5,
% multiply(B,D))))
% Current number of equations to process: 3033
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [250]
% inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),multiply(V_5,
% multiply(B,D))))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,multiply(
% inverse(C),D))))
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [251]
% multiply(C,multiply(inverse(C),inverse(multiply(A,multiply(B,multiply(D,
% inverse(D)))))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(A,multiply(B,multiply(c3,c3))))))
% Current number of equations to process: 3348
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [252]
% multiply(c3,multiply(c3,inverse(multiply(A,multiply(B,multiply(c3,c3))))))
% <->
% multiply(C,multiply(inverse(C),inverse(multiply(A,multiply(B,multiply(D,
% inverse(D)))))))
% Current number of equations to process: 3348
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [253]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),D))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_4,multiply(C,inverse(V_5))),V_5))),V_4)
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [254]
% multiply(A,multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),D)))
% <-> multiply(B,multiply(V_4,multiply(multiply(inverse(V_4),C),D)))
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [255]
% multiply(C,multiply(V_4,multiply(inverse(V_4),D))) <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(multiply(
% inverse(C),B)),D)))
% Current number of equations to process: 3644
% Current number of ordered equations: 1
% Current number of rules: 133
% Rule [255]
% multiply(C,multiply(V_4,multiply(inverse(V_4),D))) <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(multiply(
% inverse(C),B)),D))) is composed into 
% [255]
% multiply(C,multiply(V_4,multiply(inverse(V_4),D))) <->
% multiply(C,multiply(c3,multiply(inverse(c3),D)))
% New rule produced :
% [256]
% multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(multiply(
% inverse(C),B)),D)))
% <-> multiply(C,multiply(V_4,multiply(inverse(V_4),D)))
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [257]
% inverse(multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D))))))
% <->
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))))
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [258]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))) <->
% multiply(D,inverse(multiply(V_4,multiply(inverse(V_4),multiply(C,D)))))
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [259]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),C)),D))
% <-> multiply(B,multiply(multiply(V_4,multiply(inverse(V_4),C)),D))
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [260]
% multiply(A,multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,
% multiply(D,
% multiply(V_4,B))))),C))))
% -> multiply(D,V_4)
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [261]
% multiply(A,multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),C),D))))
% <->
% multiply(V_4,multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),C),D))))
% Current number of equations to process: 3675
% Current number of ordered equations: 2
% Current number of rules: 139
% New rule produced :
% [262]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(inverse(B),C))),D))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),multiply(V_5,multiply(inverse(V_5),C))),D))
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [263]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(inverse(C),D))))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),B),multiply(V_5,multiply(
% inverse(V_5),D))))
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [264]
% inverse(multiply(C,multiply(D,multiply(inverse(D),inverse(multiply(B,C))))))
% <->
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(inverse(B),multiply(A,
% multiply(c3,c3)))))))
% Current number of equations to process: 3674
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [265]
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(inverse(B),multiply(A,
% multiply(c3,c3)))))))
% <->
% inverse(multiply(C,multiply(D,multiply(inverse(D),inverse(multiply(B,C))))))
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [266]
% multiply(inverse(C),inverse(multiply(multiply(c3,inverse(multiply(D,C))),D)))
% <->
% multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,A))),B)))
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [267]
% multiply(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,inverse(
% multiply(C,
% multiply(
% inverse(C),D)))),A))),B)
% -> D
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [268]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),D)),V_4))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(inverse(V_5),D)),V_4))),C)
% Current number of equations to process: 3695
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [269]
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(inverse(V_5),D)),V_4))),C)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),D)),V_4))),B)
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [270]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% <-> multiply(multiply(A,inverse(multiply(c3,C))),c3)
% Current number of equations to process: 3705
% Current number of ordered equations: 1
% Current number of rules: 148
% Rule [270]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% <-> multiply(multiply(A,inverse(multiply(c3,C))),c3) is composed into 
% [270]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% <->
% multiply(A,multiply(c3,inverse(multiply(C,multiply(c3,multiply(inverse(c3),c3))))))
% Rule [187]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(c3,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),c3) is composed into 
% [187]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% <->
% multiply(A,multiply(c3,inverse(multiply(inverse(multiply(C,multiply(D,
% multiply(V_4,V_5)))),
% multiply(c3,multiply(inverse(c3),c3))))))
% Rule [186]
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_4))),V_5)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(c3,V_4))),c3))))) is composed into 
% [186]
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_4))),V_5)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,multiply(c3,inverse(
% multiply(V_4,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))))
% Rule [181]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(c3,D)))) ->
% multiply(multiply(A,inverse(multiply(c3,c3))),c3) is composed into 
% [181]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(c3,D)))) ->
% multiply(A,multiply(c3,inverse(multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% Rule [164]
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,
% multiply(multiply(
% inverse(V_4),B),C))))))
% <-> multiply(multiply(A,inverse(multiply(c3,D))),c3) is composed into 
% [164]
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% multiply(
% inverse(V_4),B),C))))))
% ->
% multiply(A,multiply(c3,inverse(multiply(D,multiply(c3,multiply(inverse(c3),c3))))))
% New rule produced :
% [271]
% multiply(multiply(A,inverse(multiply(c3,C))),c3) <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% Rule
% [179]
% multiply(multiply(A,inverse(multiply(c3,D))),c3) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),
% multiply(B,inverse(multiply(D,C)))) collapsed.
% Rule
% [180]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(c3,C))),c3))),
% multiply(B,inverse(multiply(D,C)))) <->
% multiply(multiply(A,inverse(multiply(c3,D))),c3) collapsed.
% Rule
% [184]
% multiply(multiply(A,inverse(multiply(c3,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),c3)
% <->
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% collapsed.
% Rule
% [185]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(c3,V_4))),c3)))))
% <->
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_4))),V_5)))))
% collapsed.
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [272]
% multiply(A,inverse(multiply(B,multiply(C,multiply(B,multiply(C,inverse(
% multiply(B,
% multiply(C,
% multiply(B,C))))))))))
% -> A
% Rule
% [220]
% multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(B,multiply(C,
% inverse(
% multiply(B,
% multiply(C,
% multiply(B,C))))))))))
% -> inverse(A) collapsed.
% Rule
% [232]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(B,multiply(C,
% inverse(
% multiply(B,
% multiply(C,
% multiply(B,C)))))))))),c3)
% -> multiply(A,c3) collapsed.
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [273]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(C)),C))),multiply(B,
% inverse(c3)))
% ->
% multiply(A,multiply(c3,inverse(multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [274]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(D)),D)))))
% <->
% multiply(V_4,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(c3)),V_4)))))
% Current number of equations to process: 3727
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [275]
% multiply(V_4,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(c3)),V_4)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(D)),D)))))
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [276]
% multiply(multiply(A,inverse(B)),B) <-> multiply(multiply(A,inverse(C)),C)
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [277]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,D))) <->
% inverse(multiply(multiply(A,multiply(B,D)),multiply(V_4,inverse(V_4))))
% Current number of equations to process: 3746
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [278]
% inverse(multiply(multiply(A,multiply(B,D)),multiply(V_4,inverse(V_4)))) <->
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,D)))
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [279]
% inverse(multiply(multiply(C,multiply(inverse(C),inverse(D))),D)) <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),B))
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [280] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [281]
% multiply(A,multiply(B,multiply(inverse(B),C))) <->
% multiply(D,multiply(inverse(D),multiply(inverse(inverse(A)),C)))
% Current number of equations to process: 3939
% Current number of ordered equations: 1
% Current number of rules: 153
% Rule [281]
% multiply(A,multiply(B,multiply(inverse(B),C))) <->
% multiply(D,multiply(inverse(D),multiply(inverse(inverse(A)),C))) is composed into 
% [281]
% multiply(A,multiply(B,multiply(inverse(B),C))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),C)))
% New rule produced :
% [282]
% multiply(D,multiply(inverse(D),multiply(inverse(inverse(A)),C))) <->
% multiply(A,multiply(B,multiply(inverse(B),C)))
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [283]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D) <->
% multiply(multiply(A,inverse(multiply(V_4,multiply(inverse(D),C)))),V_4)
% Current number of equations to process: 3938
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [284]
% multiply(multiply(A,inverse(multiply(V_4,multiply(inverse(D),C)))),V_4) <->
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D)
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [285]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(inverse(D),multiply(C,V_4))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))),D)
% Current number of equations to process: 3937
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [286]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))),D)
% <->
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(inverse(D),multiply(C,V_4))))),V_5)
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [287]
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(B)),
% inverse(inverse(C)))))) <->
% inverse(multiply(multiply(c3,inverse(multiply(A,multiply(inverse(A),B)))),C))
% Current number of equations to process: 3936
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [288]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D) <->
% multiply(multiply(A,inverse(multiply(multiply(V_4,V_5),multiply(inverse(
% multiply(D,V_5)),C)))),V_4)
% Current number of equations to process: 3935
% Current number of ordered equations: 1
% Current number of rules: 160
% Rule [288]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D) <->
% multiply(multiply(A,inverse(multiply(multiply(V_4,V_5),multiply(
% inverse(multiply(D,V_5)),C)))),V_4) is composed into 
% [288]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D) <->
% multiply(multiply(A,inverse(multiply(c3,multiply(inverse(c3),C)))),D)
% New rule produced :
% [289]
% multiply(multiply(A,inverse(multiply(multiply(V_4,V_5),multiply(inverse(
% multiply(D,V_5)),C)))),V_4)
% <-> multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D)
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [290]
% inverse(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(C),
% multiply(A,B))))))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(inverse(V_5),
% multiply(D,V_4)))))))
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [291]
% multiply(V_5,inverse(multiply(C,multiply(D,multiply(A,V_5))))) <->
% multiply(multiply(inverse(A),B),inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(
% inverse(V_4),B))))))
% Current number of equations to process: 3994
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [292]
% multiply(multiply(inverse(A),B),inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(
% inverse(V_4),B))))))
% <-> multiply(V_5,inverse(multiply(C,multiply(D,multiply(A,V_5)))))
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [293]
% multiply(c3,multiply(c3,inverse(multiply(multiply(inverse(D),C),multiply(A,
% multiply(c3,c3))))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),C)))),D)
% Current number of equations to process: 3993
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [294]
% multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),C)))),D)
% <->
% multiply(c3,multiply(c3,inverse(multiply(multiply(inverse(D),C),multiply(A,
% multiply(c3,c3))))))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [295]
% inverse(multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D))),D)) <->
% inverse(multiply(multiply(A,multiply(multiply(V_4,multiply(inverse(V_4),C)),
% inverse(V_5))),V_5))
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [296]
% multiply(C,multiply(inverse(C),inverse(multiply(multiply(D,inverse(multiply(V_4,
% multiply(
% inverse(V_4),
% multiply(B,D))))),A))))
% <-> multiply(inverse(A),B)
% Current number of equations to process: 3991
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [297]
% multiply(inverse(A),B) <->
% multiply(C,multiply(inverse(C),inverse(multiply(multiply(D,inverse(multiply(V_4,
% multiply(
% inverse(V_4),
% multiply(B,D))))),A))))
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [298]
% multiply(multiply(A,inverse(multiply(C,multiply(c3,multiply(c3,multiply(c3,
% inverse(
% multiply(B,
% multiply(c3,
% multiply(c3,c3)))))))))),C)
% -> multiply(A,B)
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [299]
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(V_4)),V_4))),D) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(C)),C))),B)
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [300]
% multiply(c3,multiply(c3,inverse(multiply(multiply(B,multiply(multiply(
% inverse(B),
% inverse(A)),c3)),
% multiply(c3,multiply(inverse(c3),c3)))))) ->
% A
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [301]
% inverse(multiply(multiply(V_4,multiply(multiply(inverse(V_4),C),D)),multiply(V_5,
% multiply(
% inverse(V_5),A))))
% <-> multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B)
% Rule
% [300]
% multiply(c3,multiply(c3,inverse(multiply(multiply(B,multiply(multiply(
% inverse(B),
% inverse(A)),c3)),
% multiply(c3,multiply(inverse(c3),c3)))))) ->
% A collapsed.
% Current number of equations to process: 4100
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [302]
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B) <->
% inverse(multiply(multiply(V_4,multiply(multiply(inverse(V_4),C),D)),multiply(V_5,
% multiply(
% inverse(V_5),A))))
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [303]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(multiply(A,
% multiply(D,B)),
% multiply(V_4,
% multiply(inverse(V_4),C))))))))
% -> D
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [304]
% inverse(multiply(V_4,multiply(c3,inverse(multiply(B,multiply(D,multiply(V_4,c3)))))))
% <->
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,
% multiply(
% inverse(C),D)))))
% Current number of equations to process: 4098
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [305]
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,
% multiply(
% inverse(C),D)))))
% <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(B,multiply(D,multiply(V_4,c3)))))))
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [306]
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(D,B))),
% inverse(V_4)))))))
% <-> multiply(V_4,D)
% Current number of equations to process: 4096
% Current number of ordered equations: 1
% Current number of rules: 177
% Rule [301]
% inverse(multiply(multiply(V_4,multiply(multiply(inverse(V_4),C),D)),
% multiply(V_5,multiply(inverse(V_5),A)))) <->
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B) is composed into 
% [301]
% inverse(multiply(multiply(V_4,multiply(multiply(inverse(V_4),C),D)),multiply(V_5,
% multiply(
% inverse(V_5),A))))
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(B,B))),
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% multiply(B,C),D))))))))))
% Rule [269]
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(inverse(V_5),D)),V_4))),C)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),D)),V_4))),B) is composed into 
% [269]
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(inverse(V_5),D)),V_4))),C)
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(B,B))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(B,
% multiply(
% inverse(C),D)),V_4))))))))))
% Rule [129]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_6,multiply(multiply(
% inverse(V_5),C),D)),V_4))),V_6) is composed into 
% [129]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_6,c3))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_5),C),D)),V_4))))))))))
% Rule [77]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(C))),
% multiply(C,multiply(D,V_4)))) <->
% multiply(multiply(inverse(V_4),inverse(multiply(multiply(V_5,B),D))),V_5) is composed into 
% [77]
% inverse(multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(C))),
% multiply(C,multiply(D,V_4)))) <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_5,c3))),
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(V_5,B),D))))))))))
% New rule produced :
% [307]
% multiply(V_4,D) <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(D,B))),
% inverse(V_4)))))))
% Rule
% [45]
% inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(
% multiply(D,A),B))),D))))
% -> A collapsed.
% Rule
% [53]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(C)),D))),B))
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(C,V_4))),D))))
% collapsed.
% Rule
% [100]
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B))
% <->
% multiply(V_4,multiply(multiply(inverse(V_4),inverse(multiply(multiply(V_5,C),D))),V_5))
% collapsed.
% Rule
% [104]
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),B)
% <->
% inverse(multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),inverse(
% multiply(D,V_4))),A))))
% collapsed.
% Rule
% [120]
% multiply(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(C,
% inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),B),V_4)))),A))),C)
% -> V_4 collapsed.
% Rule
% [121]
% multiply(multiply(A,inverse(multiply(multiply(V_4,C),D))),V_4) <->
% multiply(multiply(A,inverse(multiply(multiply(B,C),D))),B) collapsed.
% Rule
% [123]
% multiply(multiply(A,inverse(multiply(multiply(B,C),multiply(D,multiply(V_4,A))))),B)
% <->
% multiply(multiply(V_5,inverse(multiply(multiply(V_6,C),multiply(D,multiply(V_4,V_5))))),V_6)
% collapsed.
% Rule
% [126]
% multiply(multiply(A,inverse(multiply(multiply(V_5,inverse(multiply(multiply(V_6,D),V_4))),V_6))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(C,D),V_4))),C))),B)
% collapsed.
% Rule
% [128]
% multiply(multiply(A,inverse(multiply(multiply(V_6,multiply(multiply(inverse(V_5),C),D)),V_4))),V_6)
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4))),V_5)
% collapsed.
% Rule
% [130]
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(C,inverse(V_6))),
% multiply(V_6,V_4)))),V_5) <->
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),
% multiply(D,V_4)))),B) collapsed.
% Rule
% [159]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),D)))),c3)
% <->
% multiply(multiply(A,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(c3),C),D),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% collapsed.
% Rule
% [195]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(inverse(B),C),
% multiply(D,A))))),c3) <->
% multiply(multiply(V_4,c3),multiply(c3,inverse(multiply(multiply(multiply(
% inverse(c3),C),
% multiply(D,V_4)),
% multiply(c3,multiply(multiply(
% inverse(c3),c3),c3))))))
% collapsed.
% Rule
% [219]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_4,inverse(multiply(V_5,D))),V_5))),V_4)
% collapsed.
% Rule
% [228]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),A))),C)))
% <->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(
% multiply(c3,D),c3))),c3)))
% collapsed.
% Rule
% [229]
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(multiply(
% multiply(c3,D),c3))),c3)))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),A))),C)))
% collapsed.
% Rule
% [253]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),D))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_4,multiply(C,inverse(V_5))),V_5))),V_4)
% collapsed.
% Rule
% [267]
% multiply(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,inverse(
% multiply(C,
% multiply(
% inverse(C),D)))),A))),B)
% -> D collapsed.
% Rule
% [268]
% multiply(multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),D)),V_4))),B)
% <->
% multiply(multiply(A,inverse(multiply(multiply(V_5,multiply(inverse(V_5),D)),V_4))),C)
% collapsed.
% Rule
% [289]
% multiply(multiply(A,inverse(multiply(multiply(V_4,V_5),multiply(inverse(
% multiply(D,V_5)),C)))),V_4)
% <-> multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D)
% collapsed.
% Rule
% [299]
% multiply(multiply(A,inverse(multiply(multiply(D,inverse(V_4)),V_4))),D) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(C)),C))),B)
% collapsed.
% Rule
% [302]
% multiply(multiply(inverse(A),inverse(multiply(multiply(B,C),D))),B) <->
% inverse(multiply(multiply(V_4,multiply(multiply(inverse(V_4),C),D)),multiply(V_5,
% multiply(
% inverse(V_5),A))))
% collapsed.
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [308]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(B,multiply(C,multiply(V_4,V_5)))))))
% <->
% inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,
% multiply(D,
% inverse(D))))))))
% Current number of equations to process: 4119
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [309]
% inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,
% multiply(D,
% inverse(D))))))))
% <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(B,multiply(C,multiply(V_4,V_5)))))))
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [310]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% <->
% multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,multiply(V_5,multiply(
% inverse(V_5),
% inverse(A)))))))
% Current number of equations to process: 4117
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [311]
% multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,multiply(V_5,multiply(
% inverse(V_5),
% inverse(A)))))))
% <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [312]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% multiply(inverse(D),
% inverse(V_4))),
% multiply(V_4,multiply(B,C))))))))
% -> A
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [313]
% inverse(multiply(multiply(C,multiply(inverse(C),inverse(D))),multiply(D,
% multiply(V_4,
% inverse(V_4)))))
% <->
% multiply(c3,multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(c3,A))))))
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [314]
% multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(inverse(V_5),multiply(C,V_4))))))
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),
% multiply(C,inverse(D)))))))
% Current number of equations to process: 4113
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [315]
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),
% multiply(C,inverse(D)))))))
% <->
% multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(inverse(V_5),multiply(C,V_4))))))
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [316]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(c3,multiply(C,
% inverse(
% multiply(D,
% multiply(
% inverse(D),
% multiply(c3,C))))))))))
% -> A
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [317]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(
% multiply(C,
% inverse(C)),A))),D))))
% -> inverse(D)
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [318]
% inverse(multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,
% multiply(B,
% multiply(c3,c3)))))))))
% <-> multiply(inverse(multiply(C,multiply(inverse(C),D))),D)
% Current number of equations to process: 4282
% Current number of ordered equations: 1
% Current number of rules: 168
% Rule [318]
% inverse(multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,
% multiply(B,
% multiply(c3,c3)))))))))
% <-> multiply(inverse(multiply(C,multiply(inverse(C),D))),D) is composed into 
% [318]
% inverse(multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,
% multiply(B,
% multiply(c3,c3)))))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,
% multiply(c3,
% multiply(c3,c3)))))))))
% New rule produced :
% [319]
% multiply(inverse(multiply(C,multiply(inverse(C),D))),D) <->
% inverse(multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,
% multiply(B,
% multiply(c3,c3)))))))))
% Current number of equations to process: 4282
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [320]
% multiply(A,inverse(multiply(B,multiply(C,multiply(C,multiply(D,inverse(
% multiply(B,
% multiply(C,
% multiply(C,D))))))))))
% -> A
% Rule
% [225]
% multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(C,multiply(B,
% inverse(
% multiply(B,
% multiply(C,
% multiply(C,B))))))))))
% -> inverse(A) collapsed.
% Current number of equations to process: 4685
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [321]
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,multiply(V_4,inverse(
% multiply(B,
% multiply(C,
% multiply(D,V_4))))))))))
% -> A
% Rule
% [216]
% multiply(A,inverse(multiply(B,multiply(C,multiply(c3,multiply(D,inverse(
% multiply(B,
% multiply(C,
% multiply(c3,D))))))))))
% -> A collapsed.
% Rule
% [272]
% multiply(A,inverse(multiply(B,multiply(C,multiply(B,multiply(C,inverse(
% multiply(B,
% multiply(C,
% multiply(B,C))))))))))
% -> A collapsed.
% Rule
% [320]
% multiply(A,inverse(multiply(B,multiply(C,multiply(C,multiply(D,inverse(
% multiply(B,
% multiply(C,
% multiply(C,D))))))))))
% -> A collapsed.
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [322]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,V_5)))))))
% <->
% multiply(A,multiply(c3,multiply(B,inverse(multiply(C,multiply(A,multiply(c3,B)))))))
% Rule
% [226]
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% <->
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(B,multiply(A,multiply(c3,c3)))))))
% collapsed.
% Current number of equations to process: 4890
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [323]
% multiply(A,multiply(c3,multiply(B,inverse(multiply(C,multiply(A,multiply(c3,B)))))))
% <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,V_5)))))))
% Rule
% [227]
% multiply(A,multiply(c3,multiply(c3,inverse(multiply(B,multiply(A,multiply(c3,c3)))))))
% <->
% multiply(C,multiply(D,multiply(V_4,inverse(multiply(B,multiply(C,multiply(D,V_4)))))))
% collapsed.
% Current number of equations to process: 4890
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [324]
% multiply(multiply(A,inverse(multiply(V_4,D))),V_4) <->
% multiply(multiply(A,inverse(multiply(B,multiply(c3,inverse(multiply(C,
% multiply(c3,
% multiply(inverse(c3),c3)))))))),
% multiply(B,inverse(multiply(D,C))))
% Current number of equations to process: 4896
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [325]
% multiply(multiply(A,inverse(multiply(B,multiply(c3,inverse(multiply(C,
% multiply(c3,
% multiply(inverse(c3),c3)))))))),
% multiply(B,inverse(multiply(D,C)))) <->
% multiply(multiply(A,inverse(multiply(V_4,D))),V_4)
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [326]
% multiply(A,multiply(c3,inverse(multiply(V_4,multiply(c3,multiply(inverse(c3),c3))))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D))))
% Current number of equations to process: 4895
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [327]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D)))) <->
% multiply(A,multiply(c3,inverse(multiply(V_4,multiply(c3,multiply(inverse(c3),c3))))))
% Rule
% [181]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(c3,D)))) ->
% multiply(A,multiply(c3,inverse(multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [328]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D)))) <->
% multiply(multiply(A,inverse(multiply(V_5,V_4))),V_5)
% Current number of equations to process: 4894
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [329]
% multiply(multiply(A,inverse(multiply(V_5,V_4))),V_5) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D))))
% Current number of equations to process: 4894
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [330]
% multiply(V_5,multiply(inverse(V_5),V_4)) <->
% multiply(multiply(A,multiply(B,multiply(c3,multiply(inverse(c3),inverse(
% multiply(c3,
% multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(C,c3))),
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% multiply(C,D),A)))))))))))),
% multiply(D,V_4))
% Current number of equations to process: 4893
% Current number of ordered equations: 1
% Current number of rules: 173
% Rule [330]
% multiply(V_5,multiply(inverse(V_5),V_4)) <->
% multiply(multiply(A,multiply(B,multiply(c3,multiply(inverse(c3),
% inverse(multiply(c3,multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(C,c3))),
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% multiply(C,D),A)))))))))))),
% multiply(D,V_4)) is composed into [330]
% multiply(V_5,multiply(inverse(V_5),V_4))
% <->
% multiply(c3,multiply(inverse(c3),V_4))
% New rule produced :
% [331]
% multiply(multiply(A,multiply(B,multiply(c3,multiply(inverse(c3),inverse(
% multiply(c3,
% multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(C,c3))),
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% multiply(C,D),A)))))))))))),
% multiply(D,V_4)) <-> multiply(V_5,multiply(inverse(V_5),V_4))
% Current number of equations to process: 4893
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [332]
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,multiply(B,
% multiply(c3,c3))))))))
% <->
% multiply(C,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(C,multiply(c3,
% multiply(c3,c3))))))))
% Rule
% [318]
% inverse(multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,
% multiply(B,
% multiply(c3,c3)))))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,
% multiply(c3,
% multiply(c3,c3)))))))))
% collapsed.
% Current number of equations to process: 4907
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [333]
% multiply(C,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(C,multiply(c3,
% multiply(c3,c3))))))))
% <->
% multiply(A,multiply(B,multiply(c3,multiply(c3,inverse(multiply(A,multiply(B,
% multiply(c3,c3))))))))
% Current number of equations to process: 4907
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [334]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(V_4,V_5))),V_4)))))
% <->
% multiply(V_6,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_5))),V_6)))))
% Rule
% [190]
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(D,V_4))),D)))))
% <->
% multiply(V_5,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(c3,V_4))),V_5)))))
% collapsed.
% Current number of equations to process: 4905
% Current number of ordered equations: 3
% Current number of rules: 175
% New rule produced :
% [335]
% multiply(V_6,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_5))),V_6)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(V_4,V_5))),V_4)))))
% Rule
% [191]
% multiply(V_5,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(c3,V_4))),V_5)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(
% multiply(D,V_4))),D)))))
% collapsed.
% Current number of equations to process: 4905
% Current number of ordered equations: 2
% Current number of rules: 175
% New rule produced :
% [336]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(V_6,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),V_6)
% Rule
% [193]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),c3)
% <->
% multiply(multiply(A,inverse(multiply(V_5,inverse(multiply(C,multiply(D,
% multiply(V_4,c3))))))),V_5)
% collapsed.
% Current number of equations to process: 4905
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [337]
% multiply(multiply(A,inverse(multiply(V_6,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),V_6)
% <->
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% Rule
% [192]
% multiply(multiply(A,inverse(multiply(V_5,inverse(multiply(C,multiply(D,
% multiply(V_4,c3))))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),c3)
% collapsed.
% Current number of equations to process: 4905
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [338]
% multiply(multiply(A,inverse(multiply(C,multiply(D,multiply(B,multiply(D,
% inverse(
% multiply(B,
% multiply(D,
% multiply(B,D)))))))))),C)
% -> multiply(A,B)
% Current number of equations to process: 4904
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [339]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D)),multiply(V_4,multiply(
% inverse(V_4),A)))))
% <->
% multiply(V_5,inverse(multiply(multiply(B,multiply(C,inverse(V_6))),multiply(V_6,
% multiply(D,V_5)))))
% Current number of equations to process: 4900
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [340]
% multiply(V_5,inverse(multiply(multiply(B,multiply(C,inverse(V_6))),multiply(V_6,
% multiply(D,V_5)))))
% <->
% multiply(A,inverse(multiply(multiply(B,multiply(C,D)),multiply(V_4,multiply(
% inverse(V_4),A)))))
% Current number of equations to process: 4900
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [341]
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(B,B))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(B,C),
% multiply(D,
% multiply(
% inverse(D),A))))))))))))
% <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_5,c3))),
% inverse(
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,C),
% multiply(V_6,
% multiply(
% inverse(V_6),V_4))))))))))))
% Current number of equations to process: 4898
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [342]
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_5,c3))),
% inverse(
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,C),
% multiply(V_6,
% multiply(
% inverse(V_6),V_4))))))))))))
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(B,B))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(B,C),
% multiply(D,
% multiply(
% inverse(D),A))))))))))))
% Current number of equations to process: 4898
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [343]
% inverse(inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),
% multiply(V_5,multiply(B,C))))) <->
% inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,
% multiply(D,
% inverse(D))))))))
% Current number of equations to process: 4896
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [344]
% inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,
% multiply(D,
% inverse(D))))))))
% <->
% inverse(inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),
% multiply(V_5,multiply(B,C)))))
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [345]
% multiply(multiply(A,inverse(multiply(C,multiply(D,multiply(c3,multiply(V_4,
% inverse(
% multiply(B,
% multiply(D,
% multiply(c3,V_4)))))))))),C)
% -> multiply(A,B)
% Rule
% [163]
% inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% multiply(c3,
% inverse(multiply(D,
% multiply(C,
% multiply(c3,c3)))))))))),B))
% -> inverse(multiply(A,D)) collapsed.
% Rule
% [174]
% inverse(multiply(multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,
% multiply(D,
% inverse(multiply(D,
% multiply(c3,
% multiply(c3,D)))))))))),A))
% -> inverse(multiply(c3,D)) collapsed.
% Rule
% [298]
% multiply(multiply(A,inverse(multiply(C,multiply(c3,multiply(c3,multiply(c3,
% inverse(
% multiply(B,
% multiply(c3,
% multiply(c3,c3)))))))))),C)
% -> multiply(A,B) collapsed.
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [346]
% inverse(multiply(multiply(D,multiply(V_4,inverse(V_5))),multiply(V_5,
% multiply(multiply(
% inverse(V_4),C),A))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),C)))),
% inverse(D))
% Current number of equations to process: 4893
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [347]
% multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),C)))),
% inverse(D)) <->
% inverse(multiply(multiply(D,multiply(V_4,inverse(V_5))),multiply(V_5,
% multiply(multiply(
% inverse(V_4),C),A))))
% Current number of equations to process: 4893
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [348]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,multiply(
% inverse(D),V_4)),A)))))
% <->
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(c3,multiply(
% inverse(c3),V_4)),V_5)))))
% Current number of equations to process: 4892
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [349]
% multiply(V_5,inverse(multiply(B,multiply(C,multiply(multiply(c3,multiply(
% inverse(c3),V_4)),V_5)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,multiply(
% inverse(D),V_4)),A)))))
% Current number of equations to process: 4892
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [350]
% multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,multiply(
% inverse(C),D)),V_4)))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(multiply(c3,multiply(
% inverse(c3),D)),V_4)))
% Current number of equations to process: 4891
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [351]
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(multiply(c3,multiply(
% inverse(c3),D)),V_4)))
% <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,multiply(
% inverse(C),D)),V_4)))
% Current number of equations to process: 4891
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [352]
% inverse(multiply(multiply(inverse(multiply(A,B)),C),multiply(D,multiply(
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),C)))),A))))
% -> B
% Current number of equations to process: 4890
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [353]
% multiply(A,inverse(multiply(multiply(inverse(B),C),multiply(D,multiply(
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),C)))),A)))))
% -> B
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [354]
% multiply(A,inverse(multiply(B,multiply(multiply(C,multiply(inverse(C),D)),
% multiply(V_4,A))))) <->
% multiply(V_5,inverse(multiply(B,multiply(multiply(c3,multiply(inverse(c3),D)),
% multiply(V_4,V_5)))))
% Current number of equations to process: 4887
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [355]
% multiply(V_5,inverse(multiply(B,multiply(multiply(c3,multiply(inverse(c3),D)),
% multiply(V_4,V_5))))) <->
% multiply(A,inverse(multiply(B,multiply(multiply(C,multiply(inverse(C),D)),
% multiply(V_4,A)))))
% Current number of equations to process: 4887
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [356]
% multiply(A,multiply(inverse(A),multiply(multiply(c3,multiply(multiply(
% inverse(c3),B),C)),D)))
% <->
% multiply(V_4,multiply(inverse(V_4),multiply(multiply(V_5,multiply(multiply(
% inverse(V_5),B),C)),D)))
% Current number of equations to process: 4886
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [357]
% multiply(V_4,multiply(inverse(V_4),multiply(multiply(V_5,multiply(multiply(
% inverse(V_5),B),C)),D)))
% <->
% multiply(A,multiply(inverse(A),multiply(multiply(c3,multiply(multiply(
% inverse(c3),B),C)),D)))
% Current number of equations to process: 4886
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [358]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% inverse(B),C)),D)),V_4))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(multiply(c3,multiply(
% inverse(c3),C)),D)),V_4))
% Current number of equations to process: 4885
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [359]
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(multiply(c3,multiply(
% inverse(c3),C)),D)),V_4))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% inverse(B),C)),D)),V_4))
% Current number of equations to process: 4885
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [360]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,multiply(
% inverse(C),D)))),V_4))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(B,multiply(c3,multiply(
% inverse(c3),D)))),V_4))
% Current number of equations to process: 4884
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [361]
% multiply(V_5,multiply(multiply(inverse(V_5),multiply(B,multiply(c3,multiply(
% inverse(c3),D)))),V_4))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,multiply(
% inverse(C),D)))),V_4))
% Current number of equations to process: 4884
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [362]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(D,multiply(
% inverse(D),V_4)))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(C,multiply(c3,
% multiply(inverse(c3),V_4)))))
% Current number of equations to process: 4883
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [363]
% multiply(V_5,multiply(multiply(inverse(V_5),B),multiply(C,multiply(c3,
% multiply(inverse(c3),V_4)))))
% <->
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(D,multiply(
% inverse(D),V_4)))))
% Current number of equations to process: 4883
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [364]
% inverse(multiply(multiply(D,multiply(V_4,inverse(V_4))),multiply(V_5,
% multiply(multiply(
% inverse(V_5),C),A))))
% <->
% multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),C)))),
% inverse(D))
% Current number of equations to process: 4882
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [365]
% multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),C)))),
% inverse(D)) <->
% inverse(multiply(multiply(D,multiply(V_4,inverse(V_4))),multiply(V_5,
% multiply(multiply(
% inverse(V_5),C),A))))
% Current number of equations to process: 4882
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [366]
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,multiply(D,
% multiply(
% inverse(D),V_4)))))
% <->
% multiply(multiply(inverse(multiply(inverse(V_5),V_4)),inverse(multiply(B,V_5))),
% inverse(A))
% Current number of equations to process: 4881
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [367]
% multiply(multiply(inverse(multiply(inverse(V_5),V_4)),inverse(multiply(B,V_5))),
% inverse(A)) <->
% inverse(multiply(multiply(A,multiply(B,inverse(C))),multiply(C,multiply(D,
% multiply(
% inverse(D),V_4)))))
% Current number of equations to process: 4881
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [368]
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(B,B))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(B,
% multiply(C,
% multiply(
% inverse(C),D))),V_4))))))))))
% <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_5,c3))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(V_5,
% multiply(c3,
% multiply(
% inverse(c3),D))),V_4))))))))))
% Current number of equations to process: 4880
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [369]
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(c3,multiply(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_5,c3))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(V_5,
% multiply(c3,
% multiply(
% inverse(c3),D))),V_4))))))))))
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(
% multiply(
% inverse(C),
% inverse(
% multiply(B,B))),
% inverse(
% multiply(A,
% inverse(
% multiply(
% multiply(B,
% multiply(C,
% multiply(
% inverse(C),D))),V_4))))))))))
% Current number of equations to process: 4880
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [370]
% multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))),C)
% <->
% multiply(A,multiply(c3,multiply(c3,multiply(A,inverse(multiply(A,multiply(c3,
% multiply(c3,A))))))))
% Rule
% [168]
% inverse(multiply(multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% inverse(V_4),C))))),D))
% <->
% inverse(multiply(A,multiply(B,multiply(A,multiply(B,inverse(multiply(A,
% multiply(B,
% multiply(A,B)))))))))
% collapsed.
% Rule
% [248]
% multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A))))),B)
% <->
% multiply(multiply(D,inverse(multiply(V_4,multiply(V_5,multiply(inverse(V_5),D))))),V_4)
% collapsed.
% Current number of equations to process: 4881
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [371]
% multiply(A,multiply(c3,multiply(c3,multiply(A,inverse(multiply(A,multiply(c3,
% multiply(c3,A))))))))
% <->
% multiply(c3,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,multiply(c3,
% multiply(c3,c3))))))))
% Current number of equations to process: 4880
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [372]
% multiply(c3,multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,multiply(c3,
% multiply(c3,c3))))))))
% <->
% multiply(A,multiply(c3,multiply(c3,multiply(A,inverse(multiply(A,multiply(c3,
% multiply(c3,A))))))))
% Current number of equations to process: 4880
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [373]
% multiply(V_4,inverse(multiply(C,multiply(V_5,multiply(inverse(V_5),V_4)))))
% <->
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,multiply(A,
% multiply(D,
% multiply(
% inverse(D),B))))))
% Current number of equations to process: 4879
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [374]
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,multiply(A,
% multiply(D,
% multiply(
% inverse(D),B))))))
% <->
% multiply(V_4,inverse(multiply(C,multiply(V_5,multiply(inverse(V_5),V_4)))))
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [375]
% multiply(A,multiply(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(
% multiply(D,V_4),B))),A)))),V_5))
% -> multiply(D,multiply(V_4,V_5))
% Current number of equations to process: 4878
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [376]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))) <->
% multiply(c3,multiply(V_4,inverse(multiply(C,multiply(D,multiply(c3,V_4))))))
% Rule
% [137]
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B)))))) <->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(D,multiply(c3,c3))))))
% collapsed.
% Current number of equations to process: 4906
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [377]
% multiply(c3,multiply(V_4,inverse(multiply(C,multiply(D,multiply(c3,V_4))))))
% <-> multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(A,B))))))
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 209
% Rule [336]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(V_6,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),V_6) is composed into 
% [336]
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% <->
% multiply(A,multiply(c3,inverse(multiply(inverse(multiply(C,multiply(D,
% multiply(V_4,V_5)))),
% multiply(c3,multiply(inverse(c3),c3))))))
% Rule [335]
% multiply(V_6,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_5))),V_6)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(V_4,V_5))),V_4))))) is composed into 
% [335]
% multiply(V_6,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_5))),V_6)))))
% <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,multiply(c3,inverse(
% multiply(V_5,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))))
% Rule [326]
% multiply(A,multiply(c3,inverse(multiply(V_4,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D)))) is composed into [326]
% multiply(A,
% multiply(c3,
% inverse(multiply(V_4,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% <->
% multiply(
% multiply(A,
% inverse(multiply(B,
% multiply(c3,
% inverse(
% multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))),
% multiply(B,
% inverse(multiply(V_4,D))))
% Rule [325]
% multiply(multiply(A,inverse(multiply(B,multiply(c3,inverse(multiply(C,
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))),
% multiply(B,inverse(multiply(D,C)))) <->
% multiply(multiply(A,inverse(multiply(V_4,D))),V_4) is composed into 
% [325]
% multiply(multiply(A,inverse(multiply(B,multiply(c3,inverse(multiply(C,
% multiply(c3,
% multiply(inverse(c3),c3)))))))),
% multiply(B,inverse(multiply(D,C)))) <->
% multiply(A,multiply(c3,inverse(multiply(D,multiply(c3,multiply(inverse(c3),c3))))))
% Rule [286]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))),D)
% <->
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(inverse(D),multiply(C,V_4))))),V_5) is composed into 
% [286]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))),D)
% <->
% multiply(V_4,multiply(c3,inverse(multiply(multiply(inverse(D),multiply(C,V_4)),
% multiply(c3,multiply(inverse(c3),c3))))))
% Rule [283]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D) <->
% multiply(multiply(A,inverse(multiply(V_4,multiply(inverse(D),C)))),V_4) is composed into 
% [283]
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D) <->
% multiply(A,multiply(c3,inverse(multiply(multiply(inverse(D),C),multiply(c3,
% multiply(
% inverse(c3),c3))))))
% Rule [236]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) <->
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(D,multiply(C,V_4))))),V_5) is composed into 
% [236]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) <->
% multiply(V_4,multiply(c3,inverse(multiply(multiply(D,multiply(C,V_4)),
% multiply(c3,multiply(inverse(c3),c3))))))
% Rule [233]
% multiply(multiply(A,c3),multiply(B,inverse(multiply(C,multiply(D,
% multiply(multiply(
% inverse(D),c3),B))))))
% <-> multiply(multiply(A,inverse(multiply(V_4,C))),V_4) is composed into 
% [233]
% multiply(multiply(A,c3),multiply(B,inverse(multiply(C,multiply(D,multiply(
% multiply(
% inverse(D),c3),B))))))
% ->
% multiply(A,multiply(c3,inverse(multiply(C,multiply(c3,multiply(inverse(c3),c3))))))
% Rule [109]
% inverse(multiply(c3,multiply(A,multiply(multiply(inverse(A),inverse(B)),
% inverse(C))))) <->
% inverse(multiply(multiply(c3,inverse(multiply(D,multiply(C,B)))),D)) is composed into 
% [109]
% inverse(multiply(c3,multiply(A,multiply(multiply(inverse(A),inverse(B)),
% inverse(C))))) <->
% inverse(multiply(c3,multiply(c3,inverse(multiply(multiply(C,B),multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% Rule [90]
% multiply(A,inverse(multiply(c3,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),A)))))
% <->
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4))) is composed into 
% [90]
% multiply(A,inverse(multiply(c3,multiply(B,multiply(multiply(inverse(B),
% inverse(C)),A))))) <->
% multiply(inverse(D),inverse(multiply(c3,multiply(c3,inverse(multiply(
% multiply(D,C),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))
% New rule produced :
% [378]
% multiply(multiply(A,inverse(multiply(C,B))),C) ->
% multiply(A,multiply(c3,inverse(multiply(B,multiply(c3,multiply(inverse(c3),c3))))))
% Rule
% [26]
% multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,multiply(A,
% multiply(D,B))))),C)))
% -> D collapsed.
% Rule
% [60]
% multiply(D,multiply(multiply(inverse(D),inverse(multiply(multiply(V_4,
% inverse(multiply(V_5,
% multiply(A,
% multiply(B,V_4))))),V_5))),C))
% -> multiply(A,multiply(B,C)) collapsed.
% Rule
% [94]
% multiply(inverse(D),inverse(multiply(multiply(c3,inverse(multiply(V_4,
% multiply(D,C)))),V_4)))
% <->
% multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,multiply(A,C)))),B)))
% collapsed.
% Rule
% [105]
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(B,A)))),C)) <->
% inverse(multiply(c3,multiply(c3,multiply(multiply(inverse(c3),inverse(A)),
% inverse(B))))) collapsed.
% Rule
% [162]
% inverse(multiply(multiply(c3,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))),C))
% <->
% inverse(multiply(c3,multiply(A,multiply(A,multiply(B,inverse(multiply(B,
% multiply(A,
% multiply(A,B)))))))))
% collapsed.
% Rule
% [199]
% multiply(multiply(inverse(A),inverse(multiply(B,C))),B) ->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(A,multiply(c3,c3))))))
% collapsed.
% Rule
% [200]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(C,multiply(D,V_4))))),V_5)
% <-> multiply(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),B)
% collapsed.
% Rule
% [207]
% multiply(multiply(A,inverse(multiply(D,C))),D) <->
% multiply(multiply(A,inverse(multiply(B,C))),B) collapsed.
% Rule
% [237]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(D,multiply(C,V_4))))),V_5)
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),
% inverse(D)))) collapsed.
% Rule
% [238]
% multiply(multiply(A,inverse(multiply(V_5,D))),V_5) <->
% multiply(multiply(A,B),multiply(C,inverse(multiply(D,multiply(V_4,multiply(
% multiply(
% inverse(V_4),B),C))))))
% collapsed.
% Rule
% [260]
% multiply(A,multiply(inverse(A),inverse(multiply(multiply(B,inverse(multiply(C,
% multiply(D,
% multiply(V_4,B))))),C))))
% -> multiply(D,V_4) collapsed.
% Rule
% [266]
% multiply(inverse(C),inverse(multiply(multiply(c3,inverse(multiply(D,C))),D)))
% <->
% multiply(inverse(A),inverse(multiply(multiply(c3,inverse(multiply(B,A))),B)))
% collapsed.
% Rule
% [271]
% multiply(multiply(A,inverse(multiply(c3,C))),c3) <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))))
% collapsed.
% Rule
% [284]
% multiply(multiply(A,inverse(multiply(V_4,multiply(inverse(D),C)))),V_4) <->
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),C)))),D)
% collapsed.
% Rule
% [285]
% multiply(multiply(V_4,inverse(multiply(V_5,multiply(inverse(D),multiply(C,V_4))))),V_5)
% <->
% multiply(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))),D)
% collapsed.
% Rule
% [324]
% multiply(multiply(A,inverse(multiply(V_4,D))),V_4) <->
% multiply(multiply(A,inverse(multiply(B,multiply(c3,inverse(multiply(C,
% multiply(c3,
% multiply(inverse(c3),c3)))))))),
% multiply(B,inverse(multiply(D,C)))) collapsed.
% Rule
% [327]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D)))) <->
% multiply(A,multiply(c3,inverse(multiply(V_4,multiply(c3,multiply(inverse(c3),c3))))))
% collapsed.
% Rule
% [328]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D)))) <->
% multiply(multiply(A,inverse(multiply(V_5,V_4))),V_5) collapsed.
% Rule
% [329]
% multiply(multiply(A,inverse(multiply(V_5,V_4))),V_5) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,D))),C))),
% multiply(B,inverse(multiply(V_4,D)))) collapsed.
% Rule
% [334]
% multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(V_4,V_5))),V_4)))))
% <->
% multiply(V_6,inverse(multiply(B,multiply(C,multiply(multiply(D,inverse(
% multiply(A,V_5))),V_6)))))
% collapsed.
% Rule
% [337]
% multiply(multiply(A,inverse(multiply(V_6,inverse(multiply(C,multiply(D,
% multiply(V_4,V_5))))))),V_6)
% <->
% multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,
% multiply(V_4,B))))))),V_5)
% collapsed.
% Rule
% [338]
% multiply(multiply(A,inverse(multiply(C,multiply(D,multiply(B,multiply(D,
% inverse(
% multiply(B,
% multiply(D,
% multiply(B,D)))))))))),C)
% -> multiply(A,B) collapsed.
% Rule
% [345]
% multiply(multiply(A,inverse(multiply(C,multiply(D,multiply(c3,multiply(V_4,
% inverse(
% multiply(B,
% multiply(D,
% multiply(c3,V_4)))))))))),C)
% -> multiply(A,B) collapsed.
% Rule
% [370]
% multiply(multiply(B,inverse(multiply(C,multiply(D,multiply(inverse(D),B))))),C)
% <->
% multiply(A,multiply(c3,multiply(c3,multiply(A,inverse(multiply(A,multiply(c3,
% multiply(c3,A))))))))
% collapsed.
% Current number of equations to process: 1886
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [379]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% <->
% multiply(inverse(D),multiply(V_4,inverse(multiply(C,multiply(V_5,multiply(
% inverse(V_5),V_4))))))
% Current number of equations to process: 1915
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [380]
% multiply(inverse(D),multiply(V_4,inverse(multiply(C,multiply(V_5,multiply(
% inverse(V_5),V_4))))))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [381]
% multiply(inverse(C),multiply(D,inverse(multiply(B,multiply(V_4,multiply(
% inverse(V_4),D))))))
% <-> multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A))))))
% Rule
% [235]
% multiply(inverse(A),multiply(B,inverse(multiply(C,multiply(D,multiply(
% inverse(D),B))))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(A,multiply(c3,c3))))))
% collapsed.
% Current number of equations to process: 1931
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [382]
% multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A)))))) <->
% multiply(inverse(C),multiply(D,inverse(multiply(B,multiply(V_4,multiply(
% inverse(V_4),D))))))
% Rule
% [234]
% multiply(c3,multiply(c3,inverse(multiply(C,multiply(A,multiply(c3,c3))))))
% <->
% multiply(inverse(A),multiply(B,inverse(multiply(C,multiply(D,multiply(
% inverse(D),B))))))
% collapsed.
% Current number of equations to process: 1931
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [383]
% multiply(D,multiply(c3,multiply(inverse(c3),inverse(multiply(C,D))))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Current number of equations to process: 2090
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [384]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(c3,multiply(inverse(c3),inverse(multiply(C,D)))))
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [385]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(A,multiply(V_4,V_5)))))))
% <->
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(C,multiply(D,
% multiply(inverse(D),B)))))))
% Current number of equations to process: 2153
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [386]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(C,multiply(D,
% multiply(inverse(D),B)))))))
% <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(A,multiply(V_4,V_5)))))))
% Current number of equations to process: 2153
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [387]
% multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),multiply(c3,
% inverse(
% multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))))
% -> A
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [388]
% multiply(A,inverse(multiply(multiply(B,C),multiply(D,multiply(inverse(D),A)))))
% <-> multiply(V_4,multiply(multiply(inverse(V_4),inverse(C)),inverse(B)))
% Rule
% [239]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D)),multiply(V_4,multiply(
% inverse(V_4),A)))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(C,D))),inverse(B)))
% collapsed.
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [389]
% inverse(multiply(multiply(A,B),multiply(C,multiply(inverse(C),D)))) <->
% multiply(multiply(inverse(D),inverse(B)),inverse(A))
% Rule
% [241]
% inverse(multiply(multiply(D,multiply(B,C)),multiply(V_4,multiply(inverse(V_4),A))))
% <-> multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))
% collapsed.
% Current number of equations to process: 2414
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [390]
% multiply(C,multiply(D,inverse(multiply(V_4,multiply(inverse(V_4),multiply(C,D))))))
% <->
% multiply(c3,multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(c3,A))))))
% Rule
% [246]
% multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(C),multiply(A,B))))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(D,multiply(inverse(D),multiply(c3,c3))))))
% collapsed.
% Current number of equations to process: 3155
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [391]
% multiply(c3,multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(c3,A))))))
% <->
% multiply(C,multiply(D,inverse(multiply(V_4,multiply(inverse(V_4),multiply(C,D))))))
% Rule
% [247]
% multiply(c3,multiply(c3,inverse(multiply(D,multiply(inverse(D),multiply(c3,c3))))))
% <->
% multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(C),multiply(A,B))))))
% collapsed.
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [392]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(B,multiply(D,multiply(V_4,V_5)))))))
% <->
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,
% multiply(
% inverse(C),D)))))
% Rule
% [304]
% inverse(multiply(V_4,multiply(c3,inverse(multiply(B,multiply(D,multiply(V_4,c3)))))))
% <->
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,
% multiply(
% inverse(C),D)))))
% collapsed.
% Current number of equations to process: 3156
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [393]
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,
% multiply(
% inverse(C),D)))))
% <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(B,multiply(D,multiply(V_4,V_5)))))))
% Rule
% [305]
% inverse(inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(C,
% multiply(
% inverse(C),D)))))
% <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(B,multiply(D,multiply(V_4,c3)))))))
% collapsed.
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [394]
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),
% multiply(C,inverse(C)))))))
% <->
% multiply(c3,multiply(c3,inverse(multiply(D,multiply(inverse(D),multiply(c3,c3))))))
% Current number of equations to process: 3155
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [395]
% multiply(c3,multiply(c3,inverse(multiply(D,multiply(inverse(D),multiply(c3,c3))))))
% <->
% multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),
% multiply(C,inverse(C)))))))
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [396]
% inverse(multiply(multiply(C,multiply(inverse(C),B)),multiply(D,multiply(
% inverse(D),A))))
% <->
% multiply(inverse(A),multiply(c3,inverse(multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 3434
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [397]
% multiply(inverse(A),multiply(c3,inverse(multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(multiply(C,multiply(inverse(C),B)),multiply(D,multiply(
% inverse(D),A))))
% Current number of equations to process: 3434
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [398]
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% <->
% multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,multiply(D,multiply(V_5,
% inverse(V_5)))))))
% Rule
% [343]
% inverse(inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),
% multiply(V_5,multiply(B,C))))) <->
% inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,
% multiply(D,
% inverse(D))))))))
% collapsed.
% Current number of equations to process: 3679
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [399]
% multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,multiply(D,multiply(V_5,
% inverse(V_5)))))))
% <->
% inverse(multiply(multiply(A,multiply(inverse(A),inverse(B))),multiply(B,
% multiply(C,D))))
% Rule
% [344]
% inverse(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,
% multiply(D,
% inverse(D))))))))
% <->
% inverse(inverse(multiply(multiply(V_4,multiply(inverse(V_4),inverse(V_5))),
% multiply(V_5,multiply(B,C))))) collapsed.
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [400]
% multiply(c3,multiply(A,inverse(multiply(B,multiply(C,multiply(c3,A)))))) <->
% multiply(D,multiply(inverse(D),inverse(multiply(B,multiply(C,multiply(V_4,
% inverse(V_4)))))))
% Rule
% [252]
% multiply(c3,multiply(c3,inverse(multiply(A,multiply(B,multiply(c3,c3))))))
% <->
% multiply(C,multiply(inverse(C),inverse(multiply(A,multiply(B,multiply(D,
% inverse(D)))))))
% collapsed.
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [401]
% multiply(A,multiply(inverse(A),multiply(B,multiply(inverse(B),C)))) <->
% multiply(D,multiply(inverse(D),multiply(c3,multiply(inverse(c3),C))))
% Current number of equations to process: 3821
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [402]
% multiply(D,multiply(inverse(D),multiply(c3,multiply(inverse(c3),C)))) <->
% multiply(A,multiply(inverse(A),multiply(B,multiply(inverse(B),C))))
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [403]
% multiplCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------